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Finding the Fourth Proportional to 727.43, 1,004.63 and 588.92

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Solution

The fourth proportional to 727.43, 1,004.63 and 588.92 is: 813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.43 : 1,004.63 = 588.92 : x
  2. Step 2: Convert to fraction form
    727.43/1,004.63 = 588.92/x
  3. Step 3: Cross multiply
    727.43x = 1,004.63 × 588.92
  4. Step 4: Simplify right side
    727.43x = 591,638.73
  5. Step 5: Solve for x
    x = 591,638.73/727.43
  6. Step 6: Final answer
    x = 813.33

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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.