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Finding the Fourth Proportional to 954.09, 1,429.71 and 781.97

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Solution

The fourth proportional to 954.09, 1,429.71 and 781.97 is: 1,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.09 : 1,429.71 = 781.97 : x
  2. Step 2: Convert to fraction form
    954.09/1,429.71 = 781.97/x
  3. Step 3: Cross multiply
    954.09x = 1,429.71 × 781.97
  4. Step 4: Simplify right side
    954.09x = 1,117,983.18
  5. Step 5: Solve for x
    x = 1,117,983.18/954.09
  6. Step 6: Final answer
    x = 1,171.78

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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.