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Finding the Fourth Proportional to 981.32, 1,352.70 and 732.24

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Solution

The fourth proportional to 981.32, 1,352.70 and 732.24 is: 1,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.32 : 1,352.70 = 732.24 : x
  2. Step 2: Convert to fraction form
    981.32/1,352.70 = 732.24/x
  3. Step 3: Cross multiply
    981.32x = 1,352.70 × 732.24
  4. Step 4: Simplify right side
    981.32x = 990,501.05
  5. Step 5: Solve for x
    x = 990,501.05/981.32
  6. Step 6: Final answer
    x = 1,009.36

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1.5x scale

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.