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Finding the Fourth Proportional to 769.62, 1,062.07 and 437.98

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Solution

The fourth proportional to 769.62, 1,062.07 and 437.98 is: 604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.62 : 1,062.07 = 437.98 : x
  2. Step 2: Convert to fraction form
    769.62/1,062.07 = 437.98/x
  3. Step 3: Cross multiply
    769.62x = 1,062.07 × 437.98
  4. Step 4: Simplify right side
    769.62x = 465,166.12
  5. Step 5: Solve for x
    x = 465,166.12/769.62
  6. Step 6: Final answer
    x = 604.41

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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.