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Finding the Fourth Proportional to 784.76, 1,083.08 and 453.18

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Solution

The fourth proportional to 784.76, 1,083.08 and 453.18 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,083.08 = 453.18 : x
  2. Step 2: Convert to fraction form
    784.76/1,083.08 = 453.18/x
  3. Step 3: Cross multiply
    784.76x = 1,083.08 × 453.18
  4. Step 4: Simplify right side
    784.76x = 490,827.93
  5. Step 5: Solve for x
    x = 490,827.93/784.76
  6. Step 6: Final answer
    x = 625.45

Related Problems

Find fourth proportional to 392.38, 541.54 and 226.59
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.