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Finding the Fourth Proportional to 869.01, 1,199.31 and 515.04

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Solution

The fourth proportional to 869.01, 1,199.31 and 515.04 is: 710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.01 : 1,199.31 = 515.04 : x
  2. Step 2: Convert to fraction form
    869.01/1,199.31 = 515.04/x
  3. Step 3: Cross multiply
    869.01x = 1,199.31 × 515.04
  4. Step 4: Simplify right side
    869.01x = 617,692.62
  5. Step 5: Solve for x
    x = 617,692.62/869.01
  6. Step 6: Final answer
    x = 710.80

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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.