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Finding the Fourth Proportional to 981.45, 1,472.55 and 591.73

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Solution

The fourth proportional to 981.45, 1,472.55 and 591.73 is: 887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.45 : 1,472.55 = 591.73 : x
  2. Step 2: Convert to fraction form
    981.45/1,472.55 = 591.73/x
  3. Step 3: Cross multiply
    981.45x = 1,472.55 × 591.73
  4. Step 4: Simplify right side
    981.45x = 871,352.01
  5. Step 5: Solve for x
    x = 871,352.01/981.45
  6. Step 6: Final answer
    x = 887.82

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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.