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Finding the Fourth Proportional to 635.76, 946.04 and 633.60

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Solution

The fourth proportional to 635.76, 946.04 and 633.60 is: 942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 946.04 = 633.60 : x
  2. Step 2: Convert to fraction form
    635.76/946.04 = 633.60/x
  3. Step 3: Cross multiply
    635.76x = 946.04 × 633.60
  4. Step 4: Simplify right side
    635.76x = 599,407.78
  5. Step 5: Solve for x
    x = 599,407.78/635.76
  6. Step 6: Final answer
    x = 942.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.