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Finding the Fourth Proportional to 1,275.65, 1,911.85 and 544.49

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Solution

The fourth proportional to 1,275.65, 1,911.85 and 544.49 is: 816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.65 : 1,911.85 = 544.49 : x
  2. Step 2: Convert to fraction form
    1,275.65/1,911.85 = 544.49/x
  3. Step 3: Cross multiply
    1,275.65x = 1,911.85 × 544.49
  4. Step 4: Simplify right side
    1,275.65x = 1,040,982.52
  5. Step 5: Solve for x
    x = 1,040,982.52/1,275.65
  6. Step 6: Final answer
    x = 816.04

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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.