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Finding the Fourth Proportional to 1,126.33, 1,689.28 and 385.89

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Solution

The fourth proportional to 1,126.33, 1,689.28 and 385.89 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.33 : 1,689.28 = 385.89 : x
  2. Step 2: Convert to fraction form
    1,126.33/1,689.28 = 385.89/x
  3. Step 3: Cross multiply
    1,126.33x = 1,689.28 × 385.89
  4. Step 4: Simplify right side
    1,126.33x = 651,874.33
  5. Step 5: Solve for x
    x = 651,874.33/1,126.33
  6. Step 6: Final answer
    x = 578.76

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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.