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Finding the Fourth Proportional to 767.65, 1,151.31 and 305.35

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Solution

The fourth proportional to 767.65, 1,151.31 and 305.35 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.65 : 1,151.31 = 305.35 : x
  2. Step 2: Convert to fraction form
    767.65/1,151.31 = 305.35/x
  3. Step 3: Cross multiply
    767.65x = 1,151.31 × 305.35
  4. Step 4: Simplify right side
    767.65x = 351,546.75
  5. Step 5: Solve for x
    x = 351,546.75/767.65
  6. Step 6: Final answer
    x = 457.95

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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.