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Finding the Fourth Proportional to 868.82, 1,199.06 and 515.04

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Solution

The fourth proportional to 868.82, 1,199.06 and 515.04 is: 710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.82 : 1,199.06 = 515.04 : x
  2. Step 2: Convert to fraction form
    868.82/1,199.06 = 515.04/x
  3. Step 3: Cross multiply
    868.82x = 1,199.06 × 515.04
  4. Step 4: Simplify right side
    868.82x = 617,561.29
  5. Step 5: Solve for x
    x = 617,561.29/868.82
  6. Step 6: Final answer
    x = 710.81

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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.