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Finding the Fourth Proportional to 922.47, 1,383.78 and 459.78

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Solution

The fourth proportional to 922.47, 1,383.78 and 459.78 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.47 : 1,383.78 = 459.78 : x
  2. Step 2: Convert to fraction form
    922.47/1,383.78 = 459.78/x
  3. Step 3: Cross multiply
    922.47x = 1,383.78 × 459.78
  4. Step 4: Simplify right side
    922.47x = 636,234.37
  5. Step 5: Solve for x
    x = 636,234.37/922.47
  6. Step 6: Final answer
    x = 689.71

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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.