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Finding the Fourth Proportional to 1,449.23, 2,174.02 and 461.70

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Solution

The fourth proportional to 1,449.23, 2,174.02 and 461.70 is: 692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.23 : 2,174.02 = 461.70 : x
  2. Step 2: Convert to fraction form
    1,449.23/2,174.02 = 461.70/x
  3. Step 3: Cross multiply
    1,449.23x = 2,174.02 × 461.70
  4. Step 4: Simplify right side
    1,449.23x = 1,003,743.88
  5. Step 5: Solve for x
    x = 1,003,743.88/1,449.23
  6. Step 6: Final answer
    x = 692.60

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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.