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Finding the Fourth Proportional to 1,334.62, 2,001.14 and 456.81

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Solution

The fourth proportional to 1,334.62, 2,001.14 and 456.81 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.62 : 2,001.14 = 456.81 : x
  2. Step 2: Convert to fraction form
    1,334.62/2,001.14 = 456.81/x
  3. Step 3: Cross multiply
    1,334.62x = 2,001.14 × 456.81
  4. Step 4: Simplify right side
    1,334.62x = 914,140.76
  5. Step 5: Solve for x
    x = 914,140.76/1,334.62
  6. Step 6: Final answer
    x = 684.94

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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.