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Finding the Fourth Proportional to 644.33, 966.68 and 355.70

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Solution

The fourth proportional to 644.33, 966.68 and 355.70 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 966.68 = 355.70 : x
  2. Step 2: Convert to fraction form
    644.33/966.68 = 355.70/x
  3. Step 3: Cross multiply
    644.33x = 966.68 × 355.70
  4. Step 4: Simplify right side
    644.33x = 343,841.46
  5. Step 5: Solve for x
    x = 343,841.46/644.33
  6. Step 6: Final answer
    x = 533.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.