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Finding the Fourth Proportional to 644.67, 961.77 and 591.81

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Solution

The fourth proportional to 644.67, 961.77 and 591.81 is: 882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.67 : 961.77 = 591.81 : x
  2. Step 2: Convert to fraction form
    644.67/961.77 = 591.81/x
  3. Step 3: Cross multiply
    644.67x = 961.77 × 591.81
  4. Step 4: Simplify right side
    644.67x = 569,185.10
  5. Step 5: Solve for x
    x = 569,185.10/644.67
  6. Step 6: Final answer
    x = 882.91

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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.