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Finding the Fourth Proportional to 1,334.21, 2,001.42 and 456.68

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Solution

The fourth proportional to 1,334.21, 2,001.42 and 456.68 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.21 : 2,001.42 = 456.68 : x
  2. Step 2: Convert to fraction form
    1,334.21/2,001.42 = 456.68/x
  3. Step 3: Cross multiply
    1,334.21x = 2,001.42 × 456.68
  4. Step 4: Simplify right side
    1,334.21x = 913,998.48
  5. Step 5: Solve for x
    x = 913,998.48/1,334.21
  6. Step 6: Final answer
    x = 685.05

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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.