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Finding the Fourth Proportional to 1,426.52, 2,138.46 and 605.48

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Solution

The fourth proportional to 1,426.52, 2,138.46 and 605.48 is: 907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.52 : 2,138.46 = 605.48 : x
  2. Step 2: Convert to fraction form
    1,426.52/2,138.46 = 605.48/x
  3. Step 3: Cross multiply
    1,426.52x = 2,138.46 × 605.48
  4. Step 4: Simplify right side
    1,426.52x = 1,294,794.76
  5. Step 5: Solve for x
    x = 1,294,794.76/1,426.52
  6. Step 6: Final answer
    x = 907.66

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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.