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Finding the Fourth Proportional to 724.38, 1,078.77 and 677.67

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Solution

The fourth proportional to 724.38, 1,078.77 and 677.67 is: 1,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,078.77 = 677.67 : x
  2. Step 2: Convert to fraction form
    724.38/1,078.77 = 677.67/x
  3. Step 3: Cross multiply
    724.38x = 1,078.77 × 677.67
  4. Step 4: Simplify right side
    724.38x = 731,050.07
  5. Step 5: Solve for x
    x = 731,050.07/724.38
  6. Step 6: Final answer
    x = 1,009.21

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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.