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Finding the Fourth Proportional to 1,126.33, 1,689.80 and 541.82

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Solution

The fourth proportional to 1,126.33, 1,689.80 and 541.82 is: 812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.33 : 1,689.80 = 541.82 : x
  2. Step 2: Convert to fraction form
    1,126.33/1,689.80 = 541.82/x
  3. Step 3: Cross multiply
    1,126.33x = 1,689.80 × 541.82
  4. Step 4: Simplify right side
    1,126.33x = 915,567.60
  5. Step 5: Solve for x
    x = 915,567.60/1,126.33
  6. Step 6: Final answer
    x = 812.88

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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.