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Finding the Fourth Proportional to 1,049.45, 1,449.14 and 788.82

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Solution

The fourth proportional to 1,049.45, 1,449.14 and 788.82 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.45 : 1,449.14 = 788.82 : x
  2. Step 2: Convert to fraction form
    1,049.45/1,449.14 = 788.82/x
  3. Step 3: Cross multiply
    1,049.45x = 1,449.14 × 788.82
  4. Step 4: Simplify right side
    1,049.45x = 1,143,106.67
  5. Step 5: Solve for x
    x = 1,143,106.67/1,049.45
  6. Step 6: Final answer
    x = 1,089.25

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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.