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Finding the Fourth Proportional to 1,366.33, 2,049.48 and 635.50

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Solution

The fourth proportional to 1,366.33, 2,049.48 and 635.50 is: 953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.33 : 2,049.48 = 635.50 : x
  2. Step 2: Convert to fraction form
    1,366.33/2,049.48 = 635.50/x
  3. Step 3: Cross multiply
    1,366.33x = 2,049.48 × 635.50
  4. Step 4: Simplify right side
    1,366.33x = 1,302,444.54
  5. Step 5: Solve for x
    x = 1,302,444.54/1,366.33
  6. Step 6: Final answer
    x = 953.24

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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.