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Finding the Fourth Proportional to 1,501.38, 2,253.42 and 771.39

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Solution

The fourth proportional to 1,501.38, 2,253.42 and 771.39 is: 1,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.38 : 2,253.42 = 771.39 : x
  2. Step 2: Convert to fraction form
    1,501.38/2,253.42 = 771.39/x
  3. Step 3: Cross multiply
    1,501.38x = 2,253.42 × 771.39
  4. Step 4: Simplify right side
    1,501.38x = 1,738,265.65
  5. Step 5: Solve for x
    x = 1,738,265.65/1,501.38
  6. Step 6: Final answer
    x = 1,157.78

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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.