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Finding the Fourth Proportional to 922.55, 1,381.97 and 458.93

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Solution

The fourth proportional to 922.55, 1,381.97 and 458.93 is: 687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.55 : 1,381.97 = 458.93 : x
  2. Step 2: Convert to fraction form
    922.55/1,381.97 = 458.93/x
  3. Step 3: Cross multiply
    922.55x = 1,381.97 × 458.93
  4. Step 4: Simplify right side
    922.55x = 634,221.73
  5. Step 5: Solve for x
    x = 634,221.73/922.55
  6. Step 6: Final answer
    x = 687.46

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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.