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Finding the Fourth Proportional to 664.38, 916.92 and 498.31

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Solution

The fourth proportional to 664.38, 916.92 and 498.31 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.38 : 916.92 = 498.31 : x
  2. Step 2: Convert to fraction form
    664.38/916.92 = 498.31/x
  3. Step 3: Cross multiply
    664.38x = 916.92 × 498.31
  4. Step 4: Simplify right side
    664.38x = 456,908.11
  5. Step 5: Solve for x
    x = 456,908.11/664.38
  6. Step 6: Final answer
    x = 687.72

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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.