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Finding the Fourth Proportional to 1,520.43, 2,277.60 and 902.33

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Solution

The fourth proportional to 1,520.43, 2,277.60 and 902.33 is: 1,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.43 : 2,277.60 = 902.33 : x
  2. Step 2: Convert to fraction form
    1,520.43/2,277.60 = 902.33/x
  3. Step 3: Cross multiply
    1,520.43x = 2,277.60 × 902.33
  4. Step 4: Simplify right side
    1,520.43x = 2,055,146.81
  5. Step 5: Solve for x
    x = 2,055,146.81/1,520.43
  6. Step 6: Final answer
    x = 1,351.69

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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.