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Finding the Fourth Proportional to 981.69, 1,474.55 and 948.88

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Solution

The fourth proportional to 981.69, 1,474.55 and 948.88 is: 1,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.69 : 1,474.55 = 948.88 : x
  2. Step 2: Convert to fraction form
    981.69/1,474.55 = 948.88/x
  3. Step 3: Cross multiply
    981.69x = 1,474.55 × 948.88
  4. Step 4: Simplify right side
    981.69x = 1,399,177.00
  5. Step 5: Solve for x
    x = 1,399,177.00/981.69
  6. Step 6: Final answer
    x = 1,425.28

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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.