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Finding the Fourth Proportional to 2,523.79, 3,785.71 and 880.33

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Solution

The fourth proportional to 2,523.79, 3,785.71 and 880.33 is: 1,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.79 : 3,785.71 = 880.33 : x
  2. Step 2: Convert to fraction form
    2,523.79/3,785.71 = 880.33/x
  3. Step 3: Cross multiply
    2,523.79x = 3,785.71 × 880.33
  4. Step 4: Simplify right side
    2,523.79x = 3,332,679.15
  5. Step 5: Solve for x
    x = 3,332,679.15/2,523.79
  6. Step 6: Final answer
    x = 1,320.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.