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Finding the Fourth Proportional to 865.49, 1,195.36 and 630.48

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Solution

The fourth proportional to 865.49, 1,195.36 and 630.48 is: 870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.49 : 1,195.36 = 630.48 : x
  2. Step 2: Convert to fraction form
    865.49/1,195.36 = 630.48/x
  3. Step 3: Cross multiply
    865.49x = 1,195.36 × 630.48
  4. Step 4: Simplify right side
    865.49x = 753,657.47
  5. Step 5: Solve for x
    x = 753,657.47/865.49
  6. Step 6: Final answer
    x = 870.79

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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.