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Finding the Fourth Proportional to 756.81, 1,135.02 and 269.86

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Solution

The fourth proportional to 756.81, 1,135.02 and 269.86 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.81 : 1,135.02 = 269.86 : x
  2. Step 2: Convert to fraction form
    756.81/1,135.02 = 269.86/x
  3. Step 3: Cross multiply
    756.81x = 1,135.02 × 269.86
  4. Step 4: Simplify right side
    756.81x = 306,298.93
  5. Step 5: Solve for x
    x = 306,298.93/756.81
  6. Step 6: Final answer
    x = 404.72

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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.