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Finding the Fourth Proportional to 1,129.90, 1,696.20 and 636.70

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Solution

The fourth proportional to 1,129.90, 1,696.20 and 636.70 is: 955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.90 : 1,696.20 = 636.70 : x
  2. Step 2: Convert to fraction form
    1,129.90/1,696.20 = 636.70/x
  3. Step 3: Cross multiply
    1,129.90x = 1,696.20 × 636.70
  4. Step 4: Simplify right side
    1,129.90x = 1,079,970.54
  5. Step 5: Solve for x
    x = 1,079,970.54/1,129.90
  6. Step 6: Final answer
    x = 955.81

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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.