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Finding the Fourth Proportional to 769.83, 1,062.05 and 438.21

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Solution

The fourth proportional to 769.83, 1,062.05 and 438.21 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.83 : 1,062.05 = 438.21 : x
  2. Step 2: Convert to fraction form
    769.83/1,062.05 = 438.21/x
  3. Step 3: Cross multiply
    769.83x = 1,062.05 × 438.21
  4. Step 4: Simplify right side
    769.83x = 465,400.93
  5. Step 5: Solve for x
    x = 465,400.93/769.83
  6. Step 6: Final answer
    x = 604.55

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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.