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Finding the Fourth Proportional to 766.24, 1,155.74 and 676.08

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Solution

The fourth proportional to 766.24, 1,155.74 and 676.08 is: 1,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.24 : 1,155.74 = 676.08 : x
  2. Step 2: Convert to fraction form
    766.24/1,155.74 = 676.08/x
  3. Step 3: Cross multiply
    766.24x = 1,155.74 × 676.08
  4. Step 4: Simplify right side
    766.24x = 781,372.70
  5. Step 5: Solve for x
    x = 781,372.70/766.24
  6. Step 6: Final answer
    x = 1,019.75

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1.5x scale

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.