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Finding the Fourth Proportional to 463.80, 692.79 and 461.64

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Solution

The fourth proportional to 463.80, 692.79 and 461.64 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.80 : 692.79 = 461.64 : x
  2. Step 2: Convert to fraction form
    463.80/692.79 = 461.64/x
  3. Step 3: Cross multiply
    463.80x = 692.79 × 461.64
  4. Step 4: Simplify right side
    463.80x = 319,819.58
  5. Step 5: Solve for x
    x = 319,819.58/463.80
  6. Step 6: Final answer
    x = 689.56

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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.