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Finding the Fourth Proportional to 1,046.76, 1,569.02 and 353.25

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Solution

The fourth proportional to 1,046.76, 1,569.02 and 353.25 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.76 : 1,569.02 = 353.25 : x
  2. Step 2: Convert to fraction form
    1,046.76/1,569.02 = 353.25/x
  3. Step 3: Cross multiply
    1,046.76x = 1,569.02 × 353.25
  4. Step 4: Simplify right side
    1,046.76x = 554,254.55
  5. Step 5: Solve for x
    x = 554,254.55/1,046.76
  6. Step 6: Final answer
    x = 529.50

Related Problems

Find fourth proportional to 523.38, 784.51 and 176.63
Half scale
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Double scale
Find fourth proportional to 1,047.76, 1,570.51 and 354.25
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.