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Finding the Fourth Proportional to 865.55, 1,193.87 and 585.65

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Solution

The fourth proportional to 865.55, 1,193.87 and 585.65 is: 807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.55 : 1,193.87 = 585.65 : x
  2. Step 2: Convert to fraction form
    865.55/1,193.87 = 585.65/x
  3. Step 3: Cross multiply
    865.55x = 1,193.87 × 585.65
  4. Step 4: Simplify right side
    865.55x = 699,194.41
  5. Step 5: Solve for x
    x = 699,194.41/865.55
  6. Step 6: Final answer
    x = 807.80

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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.