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Finding the Fourth Proportional to 865.13, 1,193.90 and 515.84

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Solution

The fourth proportional to 865.13, 1,193.90 and 515.84 is: 711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.13 : 1,193.90 = 515.84 : x
  2. Step 2: Convert to fraction form
    865.13/1,193.90 = 515.84/x
  3. Step 3: Cross multiply
    865.13x = 1,193.90 × 515.84
  4. Step 4: Simplify right side
    865.13x = 615,852.83
  5. Step 5: Solve for x
    x = 615,852.83/865.13
  6. Step 6: Final answer
    x = 711.87

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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.