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Finding the Fourth Proportional to 648.69, 973.25 and 215.91

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Solution

The fourth proportional to 648.69, 973.25 and 215.91 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 973.25 = 215.91 : x
  2. Step 2: Convert to fraction form
    648.69/973.25 = 215.91/x
  3. Step 3: Cross multiply
    648.69x = 973.25 × 215.91
  4. Step 4: Simplify right side
    648.69x = 210,133.33
  5. Step 5: Solve for x
    x = 210,133.33/648.69
  6. Step 6: Final answer
    x = 323.93

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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.