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Finding the Fourth Proportional to 1,760.17, 2,640.24 and 461.63

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Solution

The fourth proportional to 1,760.17, 2,640.24 and 461.63 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.17 : 2,640.24 = 461.63 : x
  2. Step 2: Convert to fraction form
    1,760.17/2,640.24 = 461.63/x
  3. Step 3: Cross multiply
    1,760.17x = 2,640.24 × 461.63
  4. Step 4: Simplify right side
    1,760.17x = 1,218,800.79
  5. Step 5: Solve for x
    x = 1,218,800.79/1,760.17
  6. Step 6: Final answer
    x = 692.43

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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.