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Finding the Fourth Proportional to 727.86, 1,086 and 711.24

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Solution

The fourth proportional to 727.86, 1,086 and 711.24 is: 1,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,086 = 711.24 : x
  2. Step 2: Convert to fraction form
    727.86/1,086 = 711.24/x
  3. Step 3: Cross multiply
    727.86x = 1,086 × 711.24
  4. Step 4: Simplify right side
    727.86x = 772,406.64
  5. Step 5: Solve for x
    x = 772,406.64/727.86
  6. Step 6: Final answer
    x = 1,061.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.