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Finding the Fourth Proportional to 981.64, 1,472.52 and 251.22

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Solution

The fourth proportional to 981.64, 1,472.52 and 251.22 is: 376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.64 : 1,472.52 = 251.22 : x
  2. Step 2: Convert to fraction form
    981.64/1,472.52 = 251.22/x
  3. Step 3: Cross multiply
    981.64x = 1,472.52 × 251.22
  4. Step 4: Simplify right side
    981.64x = 369,927.42
  5. Step 5: Solve for x
    x = 369,927.42/981.64
  6. Step 6: Final answer
    x = 376.85

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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.