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Finding the Fourth Proportional to 766.77, 1,142.34 and 740.67

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Solution

The fourth proportional to 766.77, 1,142.34 and 740.67 is: 1,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.77 : 1,142.34 = 740.67 : x
  2. Step 2: Convert to fraction form
    766.77/1,142.34 = 740.67/x
  3. Step 3: Cross multiply
    766.77x = 1,142.34 × 740.67
  4. Step 4: Simplify right side
    766.77x = 846,096.97
  5. Step 5: Solve for x
    x = 846,096.97/766.77
  6. Step 6: Final answer
    x = 1,103.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.