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Finding the Fourth Proportional to 1,426.33, 2,139.74 and 501.65

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Solution

The fourth proportional to 1,426.33, 2,139.74 and 501.65 is: 752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.33 : 2,139.74 = 501.65 : x
  2. Step 2: Convert to fraction form
    1,426.33/2,139.74 = 501.65/x
  3. Step 3: Cross multiply
    1,426.33x = 2,139.74 × 501.65
  4. Step 4: Simplify right side
    1,426.33x = 1,073,400.57
  5. Step 5: Solve for x
    x = 1,073,400.57/1,426.33
  6. Step 6: Final answer
    x = 752.56

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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.