Home / 648.23-972.50-231.71

Finding the Fourth Proportional to 648.23, 972.50 and 231.71

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Solution

The fourth proportional to 648.23, 972.50 and 231.71 is: 347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 972.50 = 231.71 : x
  2. Step 2: Convert to fraction form
    648.23/972.50 = 231.71/x
  3. Step 3: Cross multiply
    648.23x = 972.50 × 231.71
  4. Step 4: Simplify right side
    648.23x = 225,331.95
  5. Step 5: Solve for x
    x = 225,331.95/648.23
  6. Step 6: Final answer
    x = 347.61

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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.