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Finding the Fourth Proportional to 1,044.49, 1,567.80 and 815.92

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Solution

The fourth proportional to 1,044.49, 1,567.80 and 815.92 is: 1,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.49 : 1,567.80 = 815.92 : x
  2. Step 2: Convert to fraction form
    1,044.49/1,567.80 = 815.92/x
  3. Step 3: Cross multiply
    1,044.49x = 1,567.80 × 815.92
  4. Step 4: Simplify right side
    1,044.49x = 1,279,199.38
  5. Step 5: Solve for x
    x = 1,279,199.38/1,044.49
  6. Step 6: Final answer
    x = 1,224.71

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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.