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Finding the Fourth Proportional to 981.82, 1,473.09 and 494.47

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Solution

The fourth proportional to 981.82, 1,473.09 and 494.47 is: 741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.82 : 1,473.09 = 494.47 : x
  2. Step 2: Convert to fraction form
    981.82/1,473.09 = 494.47/x
  3. Step 3: Cross multiply
    981.82x = 1,473.09 × 494.47
  4. Step 4: Simplify right side
    981.82x = 728,398.81
  5. Step 5: Solve for x
    x = 728,398.81/981.82
  6. Step 6: Final answer
    x = 741.89

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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.