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Finding the Fourth Proportional to 664.68, 916.74 and 497.91

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Solution

The fourth proportional to 664.68, 916.74 and 497.91 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 916.74 = 497.91 : x
  2. Step 2: Convert to fraction form
    664.68/916.74 = 497.91/x
  3. Step 3: Cross multiply
    664.68x = 916.74 × 497.91
  4. Step 4: Simplify right side
    664.68x = 456,454.01
  5. Step 5: Solve for x
    x = 456,454.01/664.68
  6. Step 6: Final answer
    x = 686.73

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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.