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Finding the Fourth Proportional to 651.73, 977.42 and 218.65

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Solution

The fourth proportional to 651.73, 977.42 and 218.65 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.73 : 977.42 = 218.65 : x
  2. Step 2: Convert to fraction form
    651.73/977.42 = 218.65/x
  3. Step 3: Cross multiply
    651.73x = 977.42 × 218.65
  4. Step 4: Simplify right side
    651.73x = 213,711.79
  5. Step 5: Solve for x
    x = 213,711.79/651.73
  6. Step 6: Final answer
    x = 327.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.