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Finding the Fourth Proportional to 981.67, 1,472.46 and 288.31

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Solution

The fourth proportional to 981.67, 1,472.46 and 288.31 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.67 : 1,472.46 = 288.31 : x
  2. Step 2: Convert to fraction form
    981.67/1,472.46 = 288.31/x
  3. Step 3: Cross multiply
    981.67x = 1,472.46 × 288.31
  4. Step 4: Simplify right side
    981.67x = 424,524.94
  5. Step 5: Solve for x
    x = 424,524.94/981.67
  6. Step 6: Final answer
    x = 432.45

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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.