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Finding the Fourth Proportional to 766.72, 1,155.75 and 722.12

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Solution

The fourth proportional to 766.72, 1,155.75 and 722.12 is: 1,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.72 : 1,155.75 = 722.12 : x
  2. Step 2: Convert to fraction form
    766.72/1,155.75 = 722.12/x
  3. Step 3: Cross multiply
    766.72x = 1,155.75 × 722.12
  4. Step 4: Simplify right side
    766.72x = 834,590.19
  5. Step 5: Solve for x
    x = 834,590.19/766.72
  6. Step 6: Final answer
    x = 1,088.52

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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.