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Finding the Fourth Proportional to 648.86, 966.31 and 620.78

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Solution

The fourth proportional to 648.86, 966.31 and 620.78 is: 924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 966.31 = 620.78 : x
  2. Step 2: Convert to fraction form
    648.86/966.31 = 620.78/x
  3. Step 3: Cross multiply
    648.86x = 966.31 × 620.78
  4. Step 4: Simplify right side
    648.86x = 599,865.92
  5. Step 5: Solve for x
    x = 599,865.92/648.86
  6. Step 6: Final answer
    x = 924.49

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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.