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Finding the Fourth Proportional to 500.74, 688.89 and 474.82

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Solution

The fourth proportional to 500.74, 688.89 and 474.82 is: 653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 688.89 = 474.82 : x
  2. Step 2: Convert to fraction form
    500.74/688.89 = 474.82/x
  3. Step 3: Cross multiply
    500.74x = 688.89 × 474.82
  4. Step 4: Simplify right side
    500.74x = 327,098.75
  5. Step 5: Solve for x
    x = 327,098.75/500.74
  6. Step 6: Final answer
    x = 653.23

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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.