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Finding the Fourth Proportional to 497.92, 686.94 and 332.26

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Solution

The fourth proportional to 497.92, 686.94 and 332.26 is: 458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 686.94 = 332.26 : x
  2. Step 2: Convert to fraction form
    497.92/686.94 = 332.26/x
  3. Step 3: Cross multiply
    497.92x = 686.94 × 332.26
  4. Step 4: Simplify right side
    497.92x = 228,242.68
  5. Step 5: Solve for x
    x = 228,242.68/497.92
  6. Step 6: Final answer
    x = 458.39

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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.