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Finding the Fourth Proportional to 865.15, 1,187.87 and 842.59

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Solution

The fourth proportional to 865.15, 1,187.87 and 842.59 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.15 : 1,187.87 = 842.59 : x
  2. Step 2: Convert to fraction form
    865.15/1,187.87 = 842.59/x
  3. Step 3: Cross multiply
    865.15x = 1,187.87 × 842.59
  4. Step 4: Simplify right side
    865.15x = 1,000,887.38
  5. Step 5: Solve for x
    x = 1,000,887.38/865.15
  6. Step 6: Final answer
    x = 1,156.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.