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Finding the Fourth Proportional to 768.22, 1,149.49 and 460.28

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Solution

The fourth proportional to 768.22, 1,149.49 and 460.28 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,149.49 = 460.28 : x
  2. Step 2: Convert to fraction form
    768.22/1,149.49 = 460.28/x
  3. Step 3: Cross multiply
    768.22x = 1,149.49 × 460.28
  4. Step 4: Simplify right side
    768.22x = 529,090.71
  5. Step 5: Solve for x
    x = 529,090.71/768.22
  6. Step 6: Final answer
    x = 688.73

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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.