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Finding the Fourth Proportional to 813.52, 1,218.12 and 669.88

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Solution

The fourth proportional to 813.52, 1,218.12 and 669.88 is: 1,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.52 : 1,218.12 = 669.88 : x
  2. Step 2: Convert to fraction form
    813.52/1,218.12 = 669.88/x
  3. Step 3: Cross multiply
    813.52x = 1,218.12 × 669.88
  4. Step 4: Simplify right side
    813.52x = 815,994.23
  5. Step 5: Solve for x
    x = 815,994.23/813.52
  6. Step 6: Final answer
    x = 1,003.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.