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Finding the Fourth Proportional to 762.77, 1,143.86 and 269.15

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Solution

The fourth proportional to 762.77, 1,143.86 and 269.15 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.77 : 1,143.86 = 269.15 : x
  2. Step 2: Convert to fraction form
    762.77/1,143.86 = 269.15/x
  3. Step 3: Cross multiply
    762.77x = 1,143.86 × 269.15
  4. Step 4: Simplify right side
    762.77x = 307,868.57
  5. Step 5: Solve for x
    x = 307,868.57/762.77
  6. Step 6: Final answer
    x = 403.62

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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.