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Finding the Fourth Proportional to 768.43, 1,154.20 and 460.90

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Solution

The fourth proportional to 768.43, 1,154.20 and 460.90 is: 692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.43 : 1,154.20 = 460.90 : x
  2. Step 2: Convert to fraction form
    768.43/1,154.20 = 460.90/x
  3. Step 3: Cross multiply
    768.43x = 1,154.20 × 460.90
  4. Step 4: Simplify right side
    768.43x = 531,970.78
  5. Step 5: Solve for x
    x = 531,970.78/768.43
  6. Step 6: Final answer
    x = 692.28

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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.