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Finding the Fourth Proportional to 644.24, 961.73 and 562.25

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Solution

The fourth proportional to 644.24, 961.73 and 562.25 is: 839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 961.73 = 562.25 : x
  2. Step 2: Convert to fraction form
    644.24/961.73 = 562.25/x
  3. Step 3: Cross multiply
    644.24x = 961.73 × 562.25
  4. Step 4: Simplify right side
    644.24x = 540,732.69
  5. Step 5: Solve for x
    x = 540,732.69/644.24
  6. Step 6: Final answer
    x = 839.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.