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Finding the Fourth Proportional to 981.88, 1,473.03 and 332.59

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Solution

The fourth proportional to 981.88, 1,473.03 and 332.59 is: 498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.88 : 1,473.03 = 332.59 : x
  2. Step 2: Convert to fraction form
    981.88/1,473.03 = 332.59/x
  3. Step 3: Cross multiply
    981.88x = 1,473.03 × 332.59
  4. Step 4: Simplify right side
    981.88x = 489,915.05
  5. Step 5: Solve for x
    x = 489,915.05/981.88
  6. Step 6: Final answer
    x = 498.96

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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.