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Finding the Fourth Proportional to 981.13, 1,471.69 and 332.32

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Solution

The fourth proportional to 981.13, 1,471.69 and 332.32 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.13 : 1,471.69 = 332.32 : x
  2. Step 2: Convert to fraction form
    981.13/1,471.69 = 332.32/x
  3. Step 3: Cross multiply
    981.13x = 1,471.69 × 332.32
  4. Step 4: Simplify right side
    981.13x = 489,070.36
  5. Step 5: Solve for x
    x = 489,070.36/981.13
  6. Step 6: Final answer
    x = 498.48

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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.