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Finding the Fourth Proportional to 1,489.13, 2,233.67 and 393.47

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Solution

The fourth proportional to 1,489.13, 2,233.67 and 393.47 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.13 : 2,233.67 = 393.47 : x
  2. Step 2: Convert to fraction form
    1,489.13/2,233.67 = 393.47/x
  3. Step 3: Cross multiply
    1,489.13x = 2,233.67 × 393.47
  4. Step 4: Simplify right side
    1,489.13x = 878,869.00
  5. Step 5: Solve for x
    x = 878,869.00/1,489.13
  6. Step 6: Final answer
    x = 590.19

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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.