Home / 1,292.39-1,938.87-459.41

Finding the Fourth Proportional to 1,292.39, 1,938.87 and 459.41

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Solution

The fourth proportional to 1,292.39, 1,938.87 and 459.41 is: 689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.39 : 1,938.87 = 459.41 : x
  2. Step 2: Convert to fraction form
    1,292.39/1,938.87 = 459.41/x
  3. Step 3: Cross multiply
    1,292.39x = 1,938.87 × 459.41
  4. Step 4: Simplify right side
    1,292.39x = 890,726.57
  5. Step 5: Solve for x
    x = 890,726.57/1,292.39
  6. Step 6: Final answer
    x = 689.21

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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.