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Finding the Fourth Proportional to 1,119.95, 1,680.32 and 542.42

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Solution

The fourth proportional to 1,119.95, 1,680.32 and 542.42 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.95 : 1,680.32 = 542.42 : x
  2. Step 2: Convert to fraction form
    1,119.95/1,680.32 = 542.42/x
  3. Step 3: Cross multiply
    1,119.95x = 1,680.32 × 542.42
  4. Step 4: Simplify right side
    1,119.95x = 911,439.17
  5. Step 5: Solve for x
    x = 911,439.17/1,119.95
  6. Step 6: Final answer
    x = 813.82

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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.