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Finding the Fourth Proportional to 767.27, 1,151.06 and 305.09

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Solution

The fourth proportional to 767.27, 1,151.06 and 305.09 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.27 : 1,151.06 = 305.09 : x
  2. Step 2: Convert to fraction form
    767.27/1,151.06 = 305.09/x
  3. Step 3: Cross multiply
    767.27x = 1,151.06 × 305.09
  4. Step 4: Simplify right side
    767.27x = 351,169.61
  5. Step 5: Solve for x
    x = 351,169.61/767.27
  6. Step 6: Final answer
    x = 457.69

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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.