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Finding the Fourth Proportional to 1,616.43, 2,424.29 and 461.91

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Solution

The fourth proportional to 1,616.43, 2,424.29 and 461.91 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.43 : 2,424.29 = 461.91 : x
  2. Step 2: Convert to fraction form
    1,616.43/2,424.29 = 461.91/x
  3. Step 3: Cross multiply
    1,616.43x = 2,424.29 × 461.91
  4. Step 4: Simplify right side
    1,616.43x = 1,119,801.48
  5. Step 5: Solve for x
    x = 1,119,801.48/1,616.43
  6. Step 6: Final answer
    x = 692.76

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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.