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Finding the Fourth Proportional to 768.21, 1,151.52 and 305.86

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Solution

The fourth proportional to 768.21, 1,151.52 and 305.86 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.21 : 1,151.52 = 305.86 : x
  2. Step 2: Convert to fraction form
    768.21/1,151.52 = 305.86/x
  3. Step 3: Cross multiply
    768.21x = 1,151.52 × 305.86
  4. Step 4: Simplify right side
    768.21x = 352,203.91
  5. Step 5: Solve for x
    x = 352,203.91/768.21
  6. Step 6: Final answer
    x = 458.47

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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.