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Finding the Fourth Proportional to 981.38, 1,354.28 and 533.23

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Solution

The fourth proportional to 981.38, 1,354.28 and 533.23 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.38 : 1,354.28 = 533.23 : x
  2. Step 2: Convert to fraction form
    981.38/1,354.28 = 533.23/x
  3. Step 3: Cross multiply
    981.38x = 1,354.28 × 533.23
  4. Step 4: Simplify right side
    981.38x = 722,142.72
  5. Step 5: Solve for x
    x = 722,142.72/981.38
  6. Step 6: Final answer
    x = 735.84

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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.