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Finding the Fourth Proportional to 981.34, 1,354.26 and 539.28

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Solution

The fourth proportional to 981.34, 1,354.26 and 539.28 is: 744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.34 : 1,354.26 = 539.28 : x
  2. Step 2: Convert to fraction form
    981.34/1,354.26 = 539.28/x
  3. Step 3: Cross multiply
    981.34x = 1,354.26 × 539.28
  4. Step 4: Simplify right side
    981.34x = 730,325.33
  5. Step 5: Solve for x
    x = 730,325.33/981.34
  6. Step 6: Final answer
    x = 744.21

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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.