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Finding the Fourth Proportional to 500.28, 688.15 and 467.47

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Solution

The fourth proportional to 500.28, 688.15 and 467.47 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 688.15 = 467.47 : x
  2. Step 2: Convert to fraction form
    500.28/688.15 = 467.47/x
  3. Step 3: Cross multiply
    500.28x = 688.15 × 467.47
  4. Step 4: Simplify right side
    500.28x = 321,688.30
  5. Step 5: Solve for x
    x = 321,688.30/500.28
  6. Step 6: Final answer
    x = 643.02

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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.