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Finding the Fourth Proportional to 978.76, 1,341.02 and 966.61

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Solution

The fourth proportional to 978.76, 1,341.02 and 966.61 is: 1,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.76 : 1,341.02 = 966.61 : x
  2. Step 2: Convert to fraction form
    978.76/1,341.02 = 966.61/x
  3. Step 3: Cross multiply
    978.76x = 1,341.02 × 966.61
  4. Step 4: Simplify right side
    978.76x = 1,296,243.34
  5. Step 5: Solve for x
    x = 1,296,243.34/978.76
  6. Step 6: Final answer
    x = 1,324.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.