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Finding the Fourth Proportional to 634.10, 946.22 and 582.26

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Solution

The fourth proportional to 634.10, 946.22 and 582.26 is: 868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 946.22 = 582.26 : x
  2. Step 2: Convert to fraction form
    634.10/946.22 = 582.26/x
  3. Step 3: Cross multiply
    634.10x = 946.22 × 582.26
  4. Step 4: Simplify right side
    634.10x = 550,938.41
  5. Step 5: Solve for x
    x = 550,938.41/634.10
  6. Step 6: Final answer
    x = 868.86

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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.