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Finding the Fourth Proportional to 761.31, 1,049.90 and 498.87

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Solution

The fourth proportional to 761.31, 1,049.90 and 498.87 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.31 : 1,049.90 = 498.87 : x
  2. Step 2: Convert to fraction form
    761.31/1,049.90 = 498.87/x
  3. Step 3: Cross multiply
    761.31x = 1,049.90 × 498.87
  4. Step 4: Simplify right side
    761.31x = 523,761.12
  5. Step 5: Solve for x
    x = 523,761.12/761.31
  6. Step 6: Final answer
    x = 687.97

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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.