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Finding the Fourth Proportional to 601.30, 829.78 and 352.76

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Solution

The fourth proportional to 601.30, 829.78 and 352.76 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 829.78 = 352.76 : x
  2. Step 2: Convert to fraction form
    601.30/829.78 = 352.76/x
  3. Step 3: Cross multiply
    601.30x = 829.78 × 352.76
  4. Step 4: Simplify right side
    601.30x = 292,713.19
  5. Step 5: Solve for x
    x = 292,713.19/601.30
  6. Step 6: Final answer
    x = 486.80

Related Problems

Find fourth proportional to 300.65, 414.89 and 176.38
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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.