Home / 1,292.28-1,938.66-470.49

Finding the Fourth Proportional to 1,292.28, 1,938.66 and 470.49

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Solution

The fourth proportional to 1,292.28, 1,938.66 and 470.49 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.28 : 1,938.66 = 470.49 : x
  2. Step 2: Convert to fraction form
    1,292.28/1,938.66 = 470.49/x
  3. Step 3: Cross multiply
    1,292.28x = 1,938.66 × 470.49
  4. Step 4: Simplify right side
    1,292.28x = 912,120.14
  5. Step 5: Solve for x
    x = 912,120.14/1,292.28
  6. Step 6: Final answer
    x = 705.82

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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.