Home / 1,460.89-2,191.15-406.78

Finding the Fourth Proportional to 1,460.89, 2,191.15 and 406.78

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Solution

The fourth proportional to 1,460.89, 2,191.15 and 406.78 is: 610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.89 : 2,191.15 = 406.78 : x
  2. Step 2: Convert to fraction form
    1,460.89/2,191.15 = 406.78/x
  3. Step 3: Cross multiply
    1,460.89x = 2,191.15 × 406.78
  4. Step 4: Simplify right side
    1,460.89x = 891,318.33
  5. Step 5: Solve for x
    x = 891,318.33/1,460.89
  6. Step 6: Final answer
    x = 610.12

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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.