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Finding the Fourth Proportional to 971.76, 1,331.39 and 959.62

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Solution

The fourth proportional to 971.76, 1,331.39 and 959.62 is: 1,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.76 : 1,331.39 = 959.62 : x
  2. Step 2: Convert to fraction form
    971.76/1,331.39 = 959.62/x
  3. Step 3: Cross multiply
    971.76x = 1,331.39 × 959.62
  4. Step 4: Simplify right side
    971.76x = 1,277,628.47
  5. Step 5: Solve for x
    x = 1,277,628.47/971.76
  6. Step 6: Final answer
    x = 1,314.76

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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.