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Finding the Fourth Proportional to 1,275.19, 1,912.78 and 505.69

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Solution

The fourth proportional to 1,275.19, 1,912.78 and 505.69 is: 758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.19 : 1,912.78 = 505.69 : x
  2. Step 2: Convert to fraction form
    1,275.19/1,912.78 = 505.69/x
  3. Step 3: Cross multiply
    1,275.19x = 1,912.78 × 505.69
  4. Step 4: Simplify right side
    1,275.19x = 967,269.57
  5. Step 5: Solve for x
    x = 967,269.57/1,275.19
  6. Step 6: Final answer
    x = 758.53

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Similar ratio
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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.