Home / 1,292.14-1,938.48-414.70

Finding the Fourth Proportional to 1,292.14, 1,938.48 and 414.70

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Solution

The fourth proportional to 1,292.14, 1,938.48 and 414.70 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.14 : 1,938.48 = 414.70 : x
  2. Step 2: Convert to fraction form
    1,292.14/1,938.48 = 414.70/x
  3. Step 3: Cross multiply
    1,292.14x = 1,938.48 × 414.70
  4. Step 4: Simplify right side
    1,292.14x = 803,885.58
  5. Step 5: Solve for x
    x = 803,885.58/1,292.14
  6. Step 6: Final answer
    x = 622.14

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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.