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Finding the Fourth Proportional to 1,426.57, 2,139.43 and 604.83

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Solution

The fourth proportional to 1,426.57, 2,139.43 and 604.83 is: 907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.57 : 2,139.43 = 604.83 : x
  2. Step 2: Convert to fraction form
    1,426.57/2,139.43 = 604.83/x
  3. Step 3: Cross multiply
    1,426.57x = 2,139.43 × 604.83
  4. Step 4: Simplify right side
    1,426.57x = 1,293,991.45
  5. Step 5: Solve for x
    x = 1,293,991.45/1,426.57
  6. Step 6: Final answer
    x = 907.06

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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.