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Finding the Fourth Proportional to 634.80, 946.42 and 618.54

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Solution

The fourth proportional to 634.80, 946.42 and 618.54 is: 922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 946.42 = 618.54 : x
  2. Step 2: Convert to fraction form
    634.80/946.42 = 618.54/x
  3. Step 3: Cross multiply
    634.80x = 946.42 × 618.54
  4. Step 4: Simplify right side
    634.80x = 585,393.53
  5. Step 5: Solve for x
    x = 585,393.53/634.80
  6. Step 6: Final answer
    x = 922.16

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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.