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Finding the Fourth Proportional to 1,273.91, 1,909.01 and 688.43

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Solution

The fourth proportional to 1,273.91, 1,909.01 and 688.43 is: 1,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.91 : 1,909.01 = 688.43 : x
  2. Step 2: Convert to fraction form
    1,273.91/1,909.01 = 688.43/x
  3. Step 3: Cross multiply
    1,273.91x = 1,909.01 × 688.43
  4. Step 4: Simplify right side
    1,273.91x = 1,314,226.25
  5. Step 5: Solve for x
    x = 1,314,226.25/1,273.91
  6. Step 6: Final answer
    x = 1,031.65

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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.