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Finding the Fourth Proportional to 768.64, 1,152.23 and 306.71

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Solution

The fourth proportional to 768.64, 1,152.23 and 306.71 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,152.23 = 306.71 : x
  2. Step 2: Convert to fraction form
    768.64/1,152.23 = 306.71/x
  3. Step 3: Cross multiply
    768.64x = 1,152.23 × 306.71
  4. Step 4: Simplify right side
    768.64x = 353,394.70
  5. Step 5: Solve for x
    x = 353,394.70/768.64
  6. Step 6: Final answer
    x = 459.77

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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.