Home / 648.23-972.27-258.28

Finding the Fourth Proportional to 648.23, 972.27 and 258.28

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Solution

The fourth proportional to 648.23, 972.27 and 258.28 is: 387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 972.27 = 258.28 : x
  2. Step 2: Convert to fraction form
    648.23/972.27 = 258.28/x
  3. Step 3: Cross multiply
    648.23x = 972.27 × 258.28
  4. Step 4: Simplify right side
    648.23x = 251,118.54
  5. Step 5: Solve for x
    x = 251,118.54/648.23
  6. Step 6: Final answer
    x = 387.39

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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.