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Finding the Fourth Proportional to 1,119.12, 1,543.96 and 787.42

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Solution

The fourth proportional to 1,119.12, 1,543.96 and 787.42 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.12 : 1,543.96 = 787.42 : x
  2. Step 2: Convert to fraction form
    1,119.12/1,543.96 = 787.42/x
  3. Step 3: Cross multiply
    1,119.12x = 1,543.96 × 787.42
  4. Step 4: Simplify right side
    1,119.12x = 1,215,747.90
  5. Step 5: Solve for x
    x = 1,215,747.90/1,119.12
  6. Step 6: Final answer
    x = 1,086.35

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1.5x scale

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.