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Finding the Fourth Proportional to 768.21, 1,154.39 and 460.19

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Solution

The fourth proportional to 768.21, 1,154.39 and 460.19 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.21 : 1,154.39 = 460.19 : x
  2. Step 2: Convert to fraction form
    768.21/1,154.39 = 460.19/x
  3. Step 3: Cross multiply
    768.21x = 1,154.39 × 460.19
  4. Step 4: Simplify right side
    768.21x = 531,230.66
  5. Step 5: Solve for x
    x = 531,230.66/768.21
  6. Step 6: Final answer
    x = 691.52

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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.