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Finding the Fourth Proportional to 1,077.80, 1,616.29 and 461.79

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Solution

The fourth proportional to 1,077.80, 1,616.29 and 461.79 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.80 : 1,616.29 = 461.79 : x
  2. Step 2: Convert to fraction form
    1,077.80/1,616.29 = 461.79/x
  3. Step 3: Cross multiply
    1,077.80x = 1,616.29 × 461.79
  4. Step 4: Simplify right side
    1,077.80x = 746,386.56
  5. Step 5: Solve for x
    x = 746,386.56/1,077.80
  6. Step 6: Final answer
    x = 692.51

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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.