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Finding the Fourth Proportional to 1,426.80, 2,140.04 and 605.20

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Solution

The fourth proportional to 1,426.80, 2,140.04 and 605.20 is: 907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.80 : 2,140.04 = 605.20 : x
  2. Step 2: Convert to fraction form
    1,426.80/2,140.04 = 605.20/x
  3. Step 3: Cross multiply
    1,426.80x = 2,140.04 × 605.20
  4. Step 4: Simplify right side
    1,426.80x = 1,295,152.21
  5. Step 5: Solve for x
    x = 1,295,152.21/1,426.80
  6. Step 6: Final answer
    x = 907.73

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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.