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Finding the Fourth Proportional to 768.99, 1,154.02 and 306.88

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Solution

The fourth proportional to 768.99, 1,154.02 and 306.88 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,154.02 = 306.88 : x
  2. Step 2: Convert to fraction form
    768.99/1,154.02 = 306.88/x
  3. Step 3: Cross multiply
    768.99x = 1,154.02 × 306.88
  4. Step 4: Simplify right side
    768.99x = 354,141.82
  5. Step 5: Solve for x
    x = 354,141.82/768.99
  6. Step 6: Final answer
    x = 460.53

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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.