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Finding the Fourth Proportional to 1,272.30, 1,909.05 and 579.17

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Solution

The fourth proportional to 1,272.30, 1,909.05 and 579.17 is: 869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.30 : 1,909.05 = 579.17 : x
  2. Step 2: Convert to fraction form
    1,272.30/1,909.05 = 579.17/x
  3. Step 3: Cross multiply
    1,272.30x = 1,909.05 × 579.17
  4. Step 4: Simplify right side
    1,272.30x = 1,105,664.49
  5. Step 5: Solve for x
    x = 1,105,664.49/1,272.30
  6. Step 6: Final answer
    x = 869.03

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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.