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Finding the Fourth Proportional to 500.72, 689.98 and 466.12

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Solution

The fourth proportional to 500.72, 689.98 and 466.12 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.72 : 689.98 = 466.12 : x
  2. Step 2: Convert to fraction form
    500.72/689.98 = 466.12/x
  3. Step 3: Cross multiply
    500.72x = 689.98 × 466.12
  4. Step 4: Simplify right side
    500.72x = 321,613.48
  5. Step 5: Solve for x
    x = 321,613.48/500.72
  6. Step 6: Final answer
    x = 642.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.