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Finding the Fourth Proportional to 781.34, 1,076.37 and 725.18

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Solution

The fourth proportional to 781.34, 1,076.37 and 725.18 is: 999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.34 : 1,076.37 = 725.18 : x
  2. Step 2: Convert to fraction form
    781.34/1,076.37 = 725.18/x
  3. Step 3: Cross multiply
    781.34x = 1,076.37 × 725.18
  4. Step 4: Simplify right side
    781.34x = 780,562.00
  5. Step 5: Solve for x
    x = 780,562.00/781.34
  6. Step 6: Final answer
    x = 999.00

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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.