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Finding the Fourth Proportional to 1,274.08, 1,909.51 and 689.05

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Solution

The fourth proportional to 1,274.08, 1,909.51 and 689.05 is: 1,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.08 : 1,909.51 = 689.05 : x
  2. Step 2: Convert to fraction form
    1,274.08/1,909.51 = 689.05/x
  3. Step 3: Cross multiply
    1,274.08x = 1,909.51 × 689.05
  4. Step 4: Simplify right side
    1,274.08x = 1,315,747.87
  5. Step 5: Solve for x
    x = 1,315,747.87/1,274.08
  6. Step 6: Final answer
    x = 1,032.71

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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.