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Finding the Fourth Proportional to 648.62, 973.12 and 237.76

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Solution

The fourth proportional to 648.62, 973.12 and 237.76 is: 356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 973.12 = 237.76 : x
  2. Step 2: Convert to fraction form
    648.62/973.12 = 237.76/x
  3. Step 3: Cross multiply
    648.62x = 973.12 × 237.76
  4. Step 4: Simplify right side
    648.62x = 231,369.01
  5. Step 5: Solve for x
    x = 231,369.01/648.62
  6. Step 6: Final answer
    x = 356.71

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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.