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Finding the Fourth Proportional to 768, 1,151.21 and 305.58

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Solution

The fourth proportional to 768, 1,151.21 and 305.58 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,151.21 = 305.58 : x
  2. Step 2: Convert to fraction form
    768/1,151.21 = 305.58/x
  3. Step 3: Cross multiply
    768x = 1,151.21 × 305.58
  4. Step 4: Simplify right side
    768x = 351,785.22
  5. Step 5: Solve for x
    x = 351,785.22/768
  6. Step 6: Final answer
    x = 458.05

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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.