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Finding the Fourth Proportional to 966.62, 1,337.45 and 842.54

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Solution

The fourth proportional to 966.62, 1,337.45 and 842.54 is: 1,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.62 : 1,337.45 = 842.54 : x
  2. Step 2: Convert to fraction form
    966.62/1,337.45 = 842.54/x
  3. Step 3: Cross multiply
    966.62x = 1,337.45 × 842.54
  4. Step 4: Simplify right side
    966.62x = 1,126,851.78
  5. Step 5: Solve for x
    x = 1,126,851.78/966.62
  6. Step 6: Final answer
    x = 1,165.77

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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.