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Finding the Fourth Proportional to 463.90, 692.22 and 461.20

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Solution

The fourth proportional to 463.90, 692.22 and 461.20 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 692.22 = 461.20 : x
  2. Step 2: Convert to fraction form
    463.90/692.22 = 461.20/x
  3. Step 3: Cross multiply
    463.90x = 692.22 × 461.20
  4. Step 4: Simplify right side
    463.90x = 319,251.86
  5. Step 5: Solve for x
    x = 319,251.86/463.90
  6. Step 6: Final answer
    x = 688.19

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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.