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Finding the Fourth Proportional to 864.32, 1,301.20 and 787.78

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Solution

The fourth proportional to 864.32, 1,301.20 and 787.78 is: 1,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,301.20 = 787.78 : x
  2. Step 2: Convert to fraction form
    864.32/1,301.20 = 787.78/x
  3. Step 3: Cross multiply
    864.32x = 1,301.20 × 787.78
  4. Step 4: Simplify right side
    864.32x = 1,025,059.34
  5. Step 5: Solve for x
    x = 1,025,059.34/864.32
  6. Step 6: Final answer
    x = 1,185.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.