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Finding the Fourth Proportional to 865.90, 1,194.78 and 586.36

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Solution

The fourth proportional to 865.90, 1,194.78 and 586.36 is: 809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,194.78 = 586.36 : x
  2. Step 2: Convert to fraction form
    865.90/1,194.78 = 586.36/x
  3. Step 3: Cross multiply
    865.90x = 1,194.78 × 586.36
  4. Step 4: Simplify right side
    865.90x = 700,571.20
  5. Step 5: Solve for x
    x = 700,571.20/865.90
  6. Step 6: Final answer
    x = 809.07

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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.