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Finding the Fourth Proportional to 516.38, 713.02 and 477.03

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Solution

The fourth proportional to 516.38, 713.02 and 477.03 is: 658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 713.02 = 477.03 : x
  2. Step 2: Convert to fraction form
    516.38/713.02 = 477.03/x
  3. Step 3: Cross multiply
    516.38x = 713.02 × 477.03
  4. Step 4: Simplify right side
    516.38x = 340,130.30
  5. Step 5: Solve for x
    x = 340,130.30/516.38
  6. Step 6: Final answer
    x = 658.68

Related Problems

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Half scale
Find fourth proportional to 1,032.76, 1,426.04 and 954.06
Double scale
Find fourth proportional to 517.38, 714.40 and 478.03
Similar ratio
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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.