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Finding the Fourth Proportional to 773.01, 1,066.77 and 423.70

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Solution

The fourth proportional to 773.01, 1,066.77 and 423.70 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.01 : 1,066.77 = 423.70 : x
  2. Step 2: Convert to fraction form
    773.01/1,066.77 = 423.70/x
  3. Step 3: Cross multiply
    773.01x = 1,066.77 × 423.70
  4. Step 4: Simplify right side
    773.01x = 451,987.78
  5. Step 5: Solve for x
    x = 451,987.78/773.01
  6. Step 6: Final answer
    x = 584.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.