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Finding the Fourth Proportional to 498.32, 688.32 and 387.56

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Solution

The fourth proportional to 498.32, 688.32 and 387.56 is: 535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 688.32 = 387.56 : x
  2. Step 2: Convert to fraction form
    498.32/688.32 = 387.56/x
  3. Step 3: Cross multiply
    498.32x = 688.32 × 387.56
  4. Step 4: Simplify right side
    498.32x = 266,765.30
  5. Step 5: Solve for x
    x = 266,765.30/498.32
  6. Step 6: Final answer
    x = 535.33

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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.