Home / 1,292.34-1,938.54-414.92

Finding the Fourth Proportional to 1,292.34, 1,938.54 and 414.92

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Solution

The fourth proportional to 1,292.34, 1,938.54 and 414.92 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.34 : 1,938.54 = 414.92 : x
  2. Step 2: Convert to fraction form
    1,292.34/1,938.54 = 414.92/x
  3. Step 3: Cross multiply
    1,292.34x = 1,938.54 × 414.92
  4. Step 4: Simplify right side
    1,292.34x = 804,339.02
  5. Step 5: Solve for x
    x = 804,339.02/1,292.34
  6. Step 6: Final answer
    x = 622.39

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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.