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Finding the Fourth Proportional to 1,292.00, 1,937.99 and 426.38

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Solution

The fourth proportional to 1,292.00, 1,937.99 and 426.38 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.00 : 1,937.99 = 426.38 : x
  2. Step 2: Convert to fraction form
    1,292.00/1,937.99 = 426.38/x
  3. Step 3: Cross multiply
    1,292.00x = 1,937.99 × 426.38
  4. Step 4: Simplify right side
    1,292.00x = 826,311.55
  5. Step 5: Solve for x
    x = 826,311.55/1,292.00
  6. Step 6: Final answer
    x = 639.56

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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.