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Finding the Fourth Proportional to 460.70, 692.27 and 449.15

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Solution

The fourth proportional to 460.70, 692.27 and 449.15 is: 674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 692.27 = 449.15 : x
  2. Step 2: Convert to fraction form
    460.70/692.27 = 449.15/x
  3. Step 3: Cross multiply
    460.70x = 692.27 × 449.15
  4. Step 4: Simplify right side
    460.70x = 310,927.36
  5. Step 5: Solve for x
    x = 310,927.36/460.70
  6. Step 6: Final answer
    x = 674.91

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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.