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Finding the Fourth Proportional to 520.07, 781.22 and 314.75

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Solution

The fourth proportional to 520.07, 781.22 and 314.75 is: 472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 781.22 = 314.75 : x
  2. Step 2: Convert to fraction form
    520.07/781.22 = 314.75/x
  3. Step 3: Cross multiply
    520.07x = 781.22 × 314.75
  4. Step 4: Simplify right side
    520.07x = 245,885.09
  5. Step 5: Solve for x
    x = 245,885.09/520.07
  6. Step 6: Final answer
    x = 472.80

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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.