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Finding the Fourth Proportional to 1,252.80, 1,880.28 and 636.66

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Solution

The fourth proportional to 1,252.80, 1,880.28 and 636.66 is: 955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.80 : 1,880.28 = 636.66 : x
  2. Step 2: Convert to fraction form
    1,252.80/1,880.28 = 636.66/x
  3. Step 3: Cross multiply
    1,252.80x = 1,880.28 × 636.66
  4. Step 4: Simplify right side
    1,252.80x = 1,197,099.06
  5. Step 5: Solve for x
    x = 1,197,099.06/1,252.80
  6. Step 6: Final answer
    x = 955.54

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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.