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Finding the Fourth Proportional to 866.18, 1,298.52 and 378.86

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Solution

The fourth proportional to 866.18, 1,298.52 and 378.86 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.18 : 1,298.52 = 378.86 : x
  2. Step 2: Convert to fraction form
    866.18/1,298.52 = 378.86/x
  3. Step 3: Cross multiply
    866.18x = 1,298.52 × 378.86
  4. Step 4: Simplify right side
    866.18x = 491,957.29
  5. Step 5: Solve for x
    x = 491,957.29/866.18
  6. Step 6: Final answer
    x = 567.96

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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.