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Finding the Fourth Proportional to 1,334.41, 2,001.78 and 456.67

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Solution

The fourth proportional to 1,334.41, 2,001.78 and 456.67 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.41 : 2,001.78 = 456.67 : x
  2. Step 2: Convert to fraction form
    1,334.41/2,001.78 = 456.67/x
  3. Step 3: Cross multiply
    1,334.41x = 2,001.78 × 456.67
  4. Step 4: Simplify right side
    1,334.41x = 914,155.37
  5. Step 5: Solve for x
    x = 914,155.37/1,334.41
  6. Step 6: Final answer
    x = 685.06

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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.