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Finding the Fourth Proportional to 768.56, 1,154.08 and 632.48

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Solution

The fourth proportional to 768.56, 1,154.08 and 632.48 is: 949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,154.08 = 632.48 : x
  2. Step 2: Convert to fraction form
    768.56/1,154.08 = 632.48/x
  3. Step 3: Cross multiply
    768.56x = 1,154.08 × 632.48
  4. Step 4: Simplify right side
    768.56x = 729,932.52
  5. Step 5: Solve for x
    x = 729,932.52/768.56
  6. Step 6: Final answer
    x = 949.74

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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.