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Finding the Fourth Proportional to 644.13, 960.65 and 611.93

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Solution

The fourth proportional to 644.13, 960.65 and 611.93 is: 912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.13 : 960.65 = 611.93 : x
  2. Step 2: Convert to fraction form
    644.13/960.65 = 611.93/x
  3. Step 3: Cross multiply
    644.13x = 960.65 × 611.93
  4. Step 4: Simplify right side
    644.13x = 587,842.69
  5. Step 5: Solve for x
    x = 587,842.69/644.13
  6. Step 6: Final answer
    x = 912.61

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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.