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Finding the Fourth Proportional to 860.82, 1,187.91 and 565.98

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Solution

The fourth proportional to 860.82, 1,187.91 and 565.98 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,187.91 = 565.98 : x
  2. Step 2: Convert to fraction form
    860.82/1,187.91 = 565.98/x
  3. Step 3: Cross multiply
    860.82x = 1,187.91 × 565.98
  4. Step 4: Simplify right side
    860.82x = 672,333.30
  5. Step 5: Solve for x
    x = 672,333.30/860.82
  6. Step 6: Final answer
    x = 781.04

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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.