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Finding the Fourth Proportional to 922.73, 1,383.10 and 459.61

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Solution

The fourth proportional to 922.73, 1,383.10 and 459.61 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.73 : 1,383.10 = 459.61 : x
  2. Step 2: Convert to fraction form
    922.73/1,383.10 = 459.61/x
  3. Step 3: Cross multiply
    922.73x = 1,383.10 × 459.61
  4. Step 4: Simplify right side
    922.73x = 635,681.98
  5. Step 5: Solve for x
    x = 635,681.98/922.73
  6. Step 6: Final answer
    x = 688.92

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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.