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Finding the Fourth Proportional to 1,275.49, 1,912.58 and 495.71

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Solution

The fourth proportional to 1,275.49, 1,912.58 and 495.71 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.49 : 1,912.58 = 495.71 : x
  2. Step 2: Convert to fraction form
    1,275.49/1,912.58 = 495.71/x
  3. Step 3: Cross multiply
    1,275.49x = 1,912.58 × 495.71
  4. Step 4: Simplify right side
    1,275.49x = 948,085.03
  5. Step 5: Solve for x
    x = 948,085.03/1,275.49
  6. Step 6: Final answer
    x = 743.31

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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.