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Finding the Fourth Proportional to 872.62, 1,303.19 and 699.55

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Solution

The fourth proportional to 872.62, 1,303.19 and 699.55 is: 1,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.62 : 1,303.19 = 699.55 : x
  2. Step 2: Convert to fraction form
    872.62/1,303.19 = 699.55/x
  3. Step 3: Cross multiply
    872.62x = 1,303.19 × 699.55
  4. Step 4: Simplify right side
    872.62x = 911,646.56
  5. Step 5: Solve for x
    x = 911,646.56/872.62
  6. Step 6: Final answer
    x = 1,044.72

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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.