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Finding the Fourth Proportional to 768.43, 1,153.01 and 421.75

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Solution

The fourth proportional to 768.43, 1,153.01 and 421.75 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.43 : 1,153.01 = 421.75 : x
  2. Step 2: Convert to fraction form
    768.43/1,153.01 = 421.75/x
  3. Step 3: Cross multiply
    768.43x = 1,153.01 × 421.75
  4. Step 4: Simplify right side
    768.43x = 486,281.97
  5. Step 5: Solve for x
    x = 486,281.97/768.43
  6. Step 6: Final answer
    x = 632.83

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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.