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Finding the Fourth Proportional to 865.46, 1,194.66 and 587.13

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Solution

The fourth proportional to 865.46, 1,194.66 and 587.13 is: 810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.46 : 1,194.66 = 587.13 : x
  2. Step 2: Convert to fraction form
    865.46/1,194.66 = 587.13/x
  3. Step 3: Cross multiply
    865.46x = 1,194.66 × 587.13
  4. Step 4: Simplify right side
    865.46x = 701,420.73
  5. Step 5: Solve for x
    x = 701,420.73/865.46
  6. Step 6: Final answer
    x = 810.46

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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.