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Finding the Fourth Proportional to 523.38, 785.20 and 472.62

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Solution

The fourth proportional to 523.38, 785.20 and 472.62 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 785.20 = 472.62 : x
  2. Step 2: Convert to fraction form
    523.38/785.20 = 472.62/x
  3. Step 3: Cross multiply
    523.38x = 785.20 × 472.62
  4. Step 4: Simplify right side
    523.38x = 371,101.22
  5. Step 5: Solve for x
    x = 371,101.22/523.38
  6. Step 6: Final answer
    x = 709.05

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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.