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Finding the Fourth Proportional to 463.32, 692.27 and 447.18

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Solution

The fourth proportional to 463.32, 692.27 and 447.18 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 692.27 = 447.18 : x
  2. Step 2: Convert to fraction form
    463.32/692.27 = 447.18/x
  3. Step 3: Cross multiply
    463.32x = 692.27 × 447.18
  4. Step 4: Simplify right side
    463.32x = 309,563.60
  5. Step 5: Solve for x
    x = 309,563.60/463.32
  6. Step 6: Final answer
    x = 668.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.