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Finding the Fourth Proportional to 922.60, 1,382.46 and 691.12

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Solution

The fourth proportional to 922.60, 1,382.46 and 691.12 is: 1,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.60 : 1,382.46 = 691.12 : x
  2. Step 2: Convert to fraction form
    922.60/1,382.46 = 691.12/x
  3. Step 3: Cross multiply
    922.60x = 1,382.46 × 691.12
  4. Step 4: Simplify right side
    922.60x = 955,445.76
  5. Step 5: Solve for x
    x = 955,445.76/922.60
  6. Step 6: Final answer
    x = 1,035.60

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1.5x scale

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.