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Finding the Fourth Proportional to 865.72, 1,193.58 and 644.92

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Solution

The fourth proportional to 865.72, 1,193.58 and 644.92 is: 889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,193.58 = 644.92 : x
  2. Step 2: Convert to fraction form
    865.72/1,193.58 = 644.92/x
  3. Step 3: Cross multiply
    865.72x = 1,193.58 × 644.92
  4. Step 4: Simplify right side
    865.72x = 769,763.61
  5. Step 5: Solve for x
    x = 769,763.61/865.72
  6. Step 6: Final answer
    x = 889.16

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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.