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Finding the Fourth Proportional to 499.65, 747.47 and 431.90

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Solution

The fourth proportional to 499.65, 747.47 and 431.90 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.65 : 747.47 = 431.90 : x
  2. Step 2: Convert to fraction form
    499.65/747.47 = 431.90/x
  3. Step 3: Cross multiply
    499.65x = 747.47 × 431.90
  4. Step 4: Simplify right side
    499.65x = 322,835.24
  5. Step 5: Solve for x
    x = 322,835.24/499.65
  6. Step 6: Final answer
    x = 646.12

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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.