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Finding the Fourth Proportional to 766.89, 1,142.53 and 740.79

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Solution

The fourth proportional to 766.89, 1,142.53 and 740.79 is: 1,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,142.53 = 740.79 : x
  2. Step 2: Convert to fraction form
    766.89/1,142.53 = 740.79/x
  3. Step 3: Cross multiply
    766.89x = 1,142.53 × 740.79
  4. Step 4: Simplify right side
    766.89x = 846,372.95
  5. Step 5: Solve for x
    x = 846,372.95/766.89
  6. Step 6: Final answer
    x = 1,103.64

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1.5x scale

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.