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Finding the Fourth Proportional to 766.72, 1,154.95 and 747.28

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Solution

The fourth proportional to 766.72, 1,154.95 and 747.28 is: 1,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.72 : 1,154.95 = 747.28 : x
  2. Step 2: Convert to fraction form
    766.72/1,154.95 = 747.28/x
  3. Step 3: Cross multiply
    766.72x = 1,154.95 × 747.28
  4. Step 4: Simplify right side
    766.72x = 863,071.04
  5. Step 5: Solve for x
    x = 863,071.04/766.72
  6. Step 6: Final answer
    x = 1,125.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.