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Finding the Fourth Proportional to 644.66, 961.76 and 591.80

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Solution

The fourth proportional to 644.66, 961.76 and 591.80 is: 882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.66 : 961.76 = 591.80 : x
  2. Step 2: Convert to fraction form
    644.66/961.76 = 591.80/x
  3. Step 3: Cross multiply
    644.66x = 961.76 × 591.80
  4. Step 4: Simplify right side
    644.66x = 569,169.57
  5. Step 5: Solve for x
    x = 569,169.57/644.66
  6. Step 6: Final answer
    x = 882.90

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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.