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Finding the Fourth Proportional to 1,008.28, 1,391.31 and 588.49

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Solution

The fourth proportional to 1,008.28, 1,391.31 and 588.49 is: 812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.28 : 1,391.31 = 588.49 : x
  2. Step 2: Convert to fraction form
    1,008.28/1,391.31 = 588.49/x
  3. Step 3: Cross multiply
    1,008.28x = 1,391.31 × 588.49
  4. Step 4: Simplify right side
    1,008.28x = 818,772.02
  5. Step 5: Solve for x
    x = 818,772.02/1,008.28
  6. Step 6: Final answer
    x = 812.05

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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.