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Finding the Fourth Proportional to 1,049.91, 1,449 and 608.04

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Solution

The fourth proportional to 1,049.91, 1,449 and 608.04 is: 839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.91 : 1,449 = 608.04 : x
  2. Step 2: Convert to fraction form
    1,049.91/1,449 = 608.04/x
  3. Step 3: Cross multiply
    1,049.91x = 1,449 × 608.04
  4. Step 4: Simplify right side
    1,049.91x = 881,049.96
  5. Step 5: Solve for x
    x = 881,049.96/1,049.91
  6. Step 6: Final answer
    x = 839.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.