Home / 1,334.46-2,001.60-409.98

Finding the Fourth Proportional to 1,334.46, 2,001.60 and 409.98

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Solution

The fourth proportional to 1,334.46, 2,001.60 and 409.98 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.46 : 2,001.60 = 409.98 : x
  2. Step 2: Convert to fraction form
    1,334.46/2,001.60 = 409.98/x
  3. Step 3: Cross multiply
    1,334.46x = 2,001.60 × 409.98
  4. Step 4: Simplify right side
    1,334.46x = 820,615.97
  5. Step 5: Solve for x
    x = 820,615.97/1,334.46
  6. Step 6: Final answer
    x = 614.94

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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.