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Finding the Fourth Proportional to 520.47, 717.96 and 402.27

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Solution

The fourth proportional to 520.47, 717.96 and 402.27 is: 554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 717.96 = 402.27 : x
  2. Step 2: Convert to fraction form
    520.47/717.96 = 402.27/x
  3. Step 3: Cross multiply
    520.47x = 717.96 × 402.27
  4. Step 4: Simplify right side
    520.47x = 288,813.77
  5. Step 5: Solve for x
    x = 288,813.77/520.47
  6. Step 6: Final answer
    x = 554.91

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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.