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Finding the Fourth Proportional to 922.60, 1,274.34 and 592.12

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Solution

The fourth proportional to 922.60, 1,274.34 and 592.12 is: 817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.60 : 1,274.34 = 592.12 : x
  2. Step 2: Convert to fraction form
    922.60/1,274.34 = 592.12/x
  3. Step 3: Cross multiply
    922.60x = 1,274.34 × 592.12
  4. Step 4: Simplify right side
    922.60x = 754,562.20
  5. Step 5: Solve for x
    x = 754,562.20/922.60
  6. Step 6: Final answer
    x = 817.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.