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Finding the Fourth Proportional to 1,426.51, 2,139.99 and 452.71

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Solution

The fourth proportional to 1,426.51, 2,139.99 and 452.71 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.51 : 2,139.99 = 452.71 : x
  2. Step 2: Convert to fraction form
    1,426.51/2,139.99 = 452.71/x
  3. Step 3: Cross multiply
    1,426.51x = 2,139.99 × 452.71
  4. Step 4: Simplify right side
    1,426.51x = 968,794.87
  5. Step 5: Solve for x
    x = 968,794.87/1,426.51
  6. Step 6: Final answer
    x = 679.14

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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.