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Finding the Fourth Proportional to 865.52, 1,194.08 and 487.33

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Solution

The fourth proportional to 865.52, 1,194.08 and 487.33 is: 672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.52 : 1,194.08 = 487.33 : x
  2. Step 2: Convert to fraction form
    865.52/1,194.08 = 487.33/x
  3. Step 3: Cross multiply
    865.52x = 1,194.08 × 487.33
  4. Step 4: Simplify right side
    865.52x = 581,903.82
  5. Step 5: Solve for x
    x = 581,903.82/865.52
  6. Step 6: Final answer
    x = 672.32

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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.