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Finding the Fourth Proportional to 644.09, 961.44 and 558.02

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Solution

The fourth proportional to 644.09, 961.44 and 558.02 is: 832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 961.44 = 558.02 : x
  2. Step 2: Convert to fraction form
    644.09/961.44 = 558.02/x
  3. Step 3: Cross multiply
    644.09x = 961.44 × 558.02
  4. Step 4: Simplify right side
    644.09x = 536,503.06
  5. Step 5: Solve for x
    x = 536,503.06/644.09
  6. Step 6: Final answer
    x = 832.97

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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.