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Finding the Fourth Proportional to 920.64, 1,380.02 and 865.96

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Solution

The fourth proportional to 920.64, 1,380.02 and 865.96 is: 1,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,380.02 = 865.96 : x
  2. Step 2: Convert to fraction form
    920.64/1,380.02 = 865.96/x
  3. Step 3: Cross multiply
    920.64x = 1,380.02 × 865.96
  4. Step 4: Simplify right side
    920.64x = 1,195,042.12
  5. Step 5: Solve for x
    x = 1,195,042.12/920.64
  6. Step 6: Final answer
    x = 1,298.06

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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.