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Finding the Fourth Proportional to 709.23, 1,063.32 and 431.52

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Solution

The fourth proportional to 709.23, 1,063.32 and 431.52 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 1,063.32 = 431.52 : x
  2. Step 2: Convert to fraction form
    709.23/1,063.32 = 431.52/x
  3. Step 3: Cross multiply
    709.23x = 1,063.32 × 431.52
  4. Step 4: Simplify right side
    709.23x = 458,843.85
  5. Step 5: Solve for x
    x = 458,843.85/709.23
  6. Step 6: Final answer
    x = 646.96

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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.