Home / 727.20-1,003.19-517.14

Finding the Fourth Proportional to 727.20, 1,003.19 and 517.14

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Solution

The fourth proportional to 727.20, 1,003.19 and 517.14 is: 713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.20 : 1,003.19 = 517.14 : x
  2. Step 2: Convert to fraction form
    727.20/1,003.19 = 517.14/x
  3. Step 3: Cross multiply
    727.20x = 1,003.19 × 517.14
  4. Step 4: Simplify right side
    727.20x = 518,787.09
  5. Step 5: Solve for x
    x = 518,787.09/727.20
  6. Step 6: Final answer
    x = 713.40

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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.