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Finding the Fourth Proportional to 981.97, 1,472.76 and 571.91

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Solution

The fourth proportional to 981.97, 1,472.76 and 571.91 is: 857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.97 : 1,472.76 = 571.91 : x
  2. Step 2: Convert to fraction form
    981.97/1,472.76 = 571.91/x
  3. Step 3: Cross multiply
    981.97x = 1,472.76 × 571.91
  4. Step 4: Simplify right side
    981.97x = 842,278.81
  5. Step 5: Solve for x
    x = 842,278.81/981.97
  6. Step 6: Final answer
    x = 857.75

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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.