Home / 1,292.42-1,939.11-470.75

Finding the Fourth Proportional to 1,292.42, 1,939.11 and 470.75

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Solution

The fourth proportional to 1,292.42, 1,939.11 and 470.75 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.42 : 1,939.11 = 470.75 : x
  2. Step 2: Convert to fraction form
    1,292.42/1,939.11 = 470.75/x
  3. Step 3: Cross multiply
    1,292.42x = 1,939.11 × 470.75
  4. Step 4: Simplify right side
    1,292.42x = 912,823.98
  5. Step 5: Solve for x
    x = 912,823.98/1,292.42
  6. Step 6: Final answer
    x = 706.29

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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.