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Finding the Fourth Proportional to 648.39, 972.59 and 237.53

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Solution

The fourth proportional to 648.39, 972.59 and 237.53 is: 356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.39 : 972.59 = 237.53 : x
  2. Step 2: Convert to fraction form
    648.39/972.59 = 237.53/x
  3. Step 3: Cross multiply
    648.39x = 972.59 × 237.53
  4. Step 4: Simplify right side
    648.39x = 231,019.30
  5. Step 5: Solve for x
    x = 231,019.30/648.39
  6. Step 6: Final answer
    x = 356.30

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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.