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Finding the Fourth Proportional to 1,426.66, 2,140.42 and 605

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Solution

The fourth proportional to 1,426.66, 2,140.42 and 605 is: 907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.66 : 2,140.42 = 605 : x
  2. Step 2: Convert to fraction form
    1,426.66/2,140.42 = 605/x
  3. Step 3: Cross multiply
    1,426.66x = 2,140.42 × 605
  4. Step 4: Simplify right side
    1,426.66x = 1,294,954.10
  5. Step 5: Solve for x
    x = 1,294,954.10/1,426.66
  6. Step 6: Final answer
    x = 907.68

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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.