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Finding the Fourth Proportional to 874.12, 1,305.65 and 679.72

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Solution

The fourth proportional to 874.12, 1,305.65 and 679.72 is: 1,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,305.65 = 679.72 : x
  2. Step 2: Convert to fraction form
    874.12/1,305.65 = 679.72/x
  3. Step 3: Cross multiply
    874.12x = 1,305.65 × 679.72
  4. Step 4: Simplify right side
    874.12x = 887,476.42
  5. Step 5: Solve for x
    x = 887,476.42/874.12
  6. Step 6: Final answer
    x = 1,015.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.