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Finding the Fourth Proportional to 1,672.73, 2,505.86 and 807.65

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Solution

The fourth proportional to 1,672.73, 2,505.86 and 807.65 is: 1,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.73 : 2,505.86 = 807.65 : x
  2. Step 2: Convert to fraction form
    1,672.73/2,505.86 = 807.65/x
  3. Step 3: Cross multiply
    1,672.73x = 2,505.86 × 807.65
  4. Step 4: Simplify right side
    1,672.73x = 2,023,853.79
  5. Step 5: Solve for x
    x = 2,023,853.79/1,672.73
  6. Step 6: Final answer
    x = 1,209.91

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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.