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Finding the Fourth Proportional to 509.20, 706.31 and 472.72

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Solution

The fourth proportional to 509.20, 706.31 and 472.72 is: 655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 706.31 = 472.72 : x
  2. Step 2: Convert to fraction form
    509.20/706.31 = 472.72/x
  3. Step 3: Cross multiply
    509.20x = 706.31 × 472.72
  4. Step 4: Simplify right side
    509.20x = 333,886.86
  5. Step 5: Solve for x
    x = 333,886.86/509.20
  6. Step 6: Final answer
    x = 655.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.