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Finding the Fourth Proportional to 865.05, 1,296.93 and 539.43

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Solution

The fourth proportional to 865.05, 1,296.93 and 539.43 is: 808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,296.93 = 539.43 : x
  2. Step 2: Convert to fraction form
    865.05/1,296.93 = 539.43/x
  3. Step 3: Cross multiply
    865.05x = 1,296.93 × 539.43
  4. Step 4: Simplify right side
    865.05x = 699,602.95
  5. Step 5: Solve for x
    x = 699,602.95/865.05
  6. Step 6: Final answer
    x = 808.74

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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.