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Finding the Fourth Proportional to 1,672.98, 2,509.48 and 806.69

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Solution

The fourth proportional to 1,672.98, 2,509.48 and 806.69 is: 1,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.98 : 2,509.48 = 806.69 : x
  2. Step 2: Convert to fraction form
    1,672.98/2,509.48 = 806.69/x
  3. Step 3: Cross multiply
    1,672.98x = 2,509.48 × 806.69
  4. Step 4: Simplify right side
    1,672.98x = 2,024,372.42
  5. Step 5: Solve for x
    x = 2,024,372.42/1,672.98
  6. Step 6: Final answer
    x = 1,210.04

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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.