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Finding the Fourth Proportional to 520.73, 781.09 and 417.50

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Solution

The fourth proportional to 520.73, 781.09 and 417.50 is: 626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.73 : 781.09 = 417.50 : x
  2. Step 2: Convert to fraction form
    520.73/781.09 = 417.50/x
  3. Step 3: Cross multiply
    520.73x = 781.09 × 417.50
  4. Step 4: Simplify right side
    520.73x = 326,109.80
  5. Step 5: Solve for x
    x = 326,109.80/520.73
  6. Step 6: Final answer
    x = 626.26

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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.