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Finding the Fourth Proportional to 922.47, 1,382.46 and 402.31

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Solution

The fourth proportional to 922.47, 1,382.46 and 402.31 is: 602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.47 : 1,382.46 = 402.31 : x
  2. Step 2: Convert to fraction form
    922.47/1,382.46 = 402.31/x
  3. Step 3: Cross multiply
    922.47x = 1,382.46 × 402.31
  4. Step 4: Simplify right side
    922.47x = 556,177.48
  5. Step 5: Solve for x
    x = 556,177.48/922.47
  6. Step 6: Final answer
    x = 602.92

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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.