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Finding the Fourth Proportional to 922.04, 1,381.22 and 458.39

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Solution

The fourth proportional to 922.04, 1,381.22 and 458.39 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.04 : 1,381.22 = 458.39 : x
  2. Step 2: Convert to fraction form
    922.04/1,381.22 = 458.39/x
  3. Step 3: Cross multiply
    922.04x = 1,381.22 × 458.39
  4. Step 4: Simplify right side
    922.04x = 633,128.24
  5. Step 5: Solve for x
    x = 633,128.24/922.04
  6. Step 6: Final answer
    x = 686.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.