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Finding the Fourth Proportional to 634.02, 946.77 and 518.70

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Solution

The fourth proportional to 634.02, 946.77 and 518.70 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.02 : 946.77 = 518.70 : x
  2. Step 2: Convert to fraction form
    634.02/946.77 = 518.70/x
  3. Step 3: Cross multiply
    634.02x = 946.77 × 518.70
  4. Step 4: Simplify right side
    634.02x = 491,089.60
  5. Step 5: Solve for x
    x = 491,089.60/634.02
  6. Step 6: Final answer
    x = 774.56

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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.