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Finding the Fourth Proportional to 865.06, 1,295.34 and 540.66

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Solution

The fourth proportional to 865.06, 1,295.34 and 540.66 is: 809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,295.34 = 540.66 : x
  2. Step 2: Convert to fraction form
    865.06/1,295.34 = 540.66/x
  3. Step 3: Cross multiply
    865.06x = 1,295.34 × 540.66
  4. Step 4: Simplify right side
    865.06x = 700,338.52
  5. Step 5: Solve for x
    x = 700,338.52/865.06
  6. Step 6: Final answer
    x = 809.58

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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.