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Finding the Fourth Proportional to 922.72, 1,383.52 and 459.96

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Solution

The fourth proportional to 922.72, 1,383.52 and 459.96 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,383.52 = 459.96 : x
  2. Step 2: Convert to fraction form
    922.72/1,383.52 = 459.96/x
  3. Step 3: Cross multiply
    922.72x = 1,383.52 × 459.96
  4. Step 4: Simplify right side
    922.72x = 636,363.86
  5. Step 5: Solve for x
    x = 636,363.86/922.72
  6. Step 6: Final answer
    x = 689.66

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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.