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Finding the Fourth Proportional to 634.44, 946.74 and 561.54

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Solution

The fourth proportional to 634.44, 946.74 and 561.54 is: 837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.44 : 946.74 = 561.54 : x
  2. Step 2: Convert to fraction form
    634.44/946.74 = 561.54/x
  3. Step 3: Cross multiply
    634.44x = 946.74 × 561.54
  4. Step 4: Simplify right side
    634.44x = 531,632.38
  5. Step 5: Solve for x
    x = 531,632.38/634.44
  6. Step 6: Final answer
    x = 837.96

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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.