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Finding the Fourth Proportional to 644.78, 961.76 and 591.70

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Solution

The fourth proportional to 644.78, 961.76 and 591.70 is: 882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.78 : 961.76 = 591.70 : x
  2. Step 2: Convert to fraction form
    644.78/961.76 = 591.70/x
  3. Step 3: Cross multiply
    644.78x = 961.76 × 591.70
  4. Step 4: Simplify right side
    644.78x = 569,072.47
  5. Step 5: Solve for x
    x = 569,072.47/644.78
  6. Step 6: Final answer
    x = 882.59

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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.