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Finding the Fourth Proportional to 981.53, 1,352.97 and 732.45

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Solution

The fourth proportional to 981.53, 1,352.97 and 732.45 is: 1,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.53 : 1,352.97 = 732.45 : x
  2. Step 2: Convert to fraction form
    981.53/1,352.97 = 732.45/x
  3. Step 3: Cross multiply
    981.53x = 1,352.97 × 732.45
  4. Step 4: Simplify right side
    981.53x = 990,982.88
  5. Step 5: Solve for x
    x = 990,982.88/981.53
  6. Step 6: Final answer
    x = 1,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.