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Finding the Fourth Proportional to 865.24, 1,298.14 and 378.68

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Solution

The fourth proportional to 865.24, 1,298.14 and 378.68 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.24 : 1,298.14 = 378.68 : x
  2. Step 2: Convert to fraction form
    865.24/1,298.14 = 378.68/x
  3. Step 3: Cross multiply
    865.24x = 1,298.14 × 378.68
  4. Step 4: Simplify right side
    865.24x = 491,579.66
  5. Step 5: Solve for x
    x = 491,579.66/865.24
  6. Step 6: Final answer
    x = 568.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.