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Finding the Fourth Proportional to 1,077.38, 1,616.53 and 461.22

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Solution

The fourth proportional to 1,077.38, 1,616.53 and 461.22 is: 692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.38 : 1,616.53 = 461.22 : x
  2. Step 2: Convert to fraction form
    1,077.38/1,616.53 = 461.22/x
  3. Step 3: Cross multiply
    1,077.38x = 1,616.53 × 461.22
  4. Step 4: Simplify right side
    1,077.38x = 745,575.97
  5. Step 5: Solve for x
    x = 745,575.97/1,077.38
  6. Step 6: Final answer
    x = 692.03

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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.