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Finding the Fourth Proportional to 827.86, 1,139.73 and 716.98

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Solution

The fourth proportional to 827.86, 1,139.73 and 716.98 is: 987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.86 : 1,139.73 = 716.98 : x
  2. Step 2: Convert to fraction form
    827.86/1,139.73 = 716.98/x
  3. Step 3: Cross multiply
    827.86x = 1,139.73 × 716.98
  4. Step 4: Simplify right side
    827.86x = 817,163.62
  5. Step 5: Solve for x
    x = 817,163.62/827.86
  6. Step 6: Final answer
    x = 987.08

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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.