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Finding the Fourth Proportional to 981.53, 1,472.31 and 494.33

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Solution

The fourth proportional to 981.53, 1,472.31 and 494.33 is: 741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.53 : 1,472.31 = 494.33 : x
  2. Step 2: Convert to fraction form
    981.53/1,472.31 = 494.33/x
  3. Step 3: Cross multiply
    981.53x = 1,472.31 × 494.33
  4. Step 4: Simplify right side
    981.53x = 727,807.00
  5. Step 5: Solve for x
    x = 727,807.00/981.53
  6. Step 6: Final answer
    x = 741.50

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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.