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Finding the Fourth Proportional to 1,349.52, 1,863.04 and 909.74

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Solution

The fourth proportional to 1,349.52, 1,863.04 and 909.74 is: 1,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.52 : 1,863.04 = 909.74 : x
  2. Step 2: Convert to fraction form
    1,349.52/1,863.04 = 909.74/x
  3. Step 3: Cross multiply
    1,349.52x = 1,863.04 × 909.74
  4. Step 4: Simplify right side
    1,349.52x = 1,694,882.01
  5. Step 5: Solve for x
    x = 1,694,882.01/1,349.52
  6. Step 6: Final answer
    x = 1,255.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.