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Finding the Fourth Proportional to 1,274.28, 1,909.56 and 811.32

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Solution

The fourth proportional to 1,274.28, 1,909.56 and 811.32 is: 1,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.28 : 1,909.56 = 811.32 : x
  2. Step 2: Convert to fraction form
    1,274.28/1,909.56 = 811.32/x
  3. Step 3: Cross multiply
    1,274.28x = 1,909.56 × 811.32
  4. Step 4: Simplify right side
    1,274.28x = 1,549,264.22
  5. Step 5: Solve for x
    x = 1,549,264.22/1,274.28
  6. Step 6: Final answer
    x = 1,215.80

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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.