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Finding the Fourth Proportional to 644.77, 967.16 and 211.93

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Solution

The fourth proportional to 644.77, 967.16 and 211.93 is: 317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.77 : 967.16 = 211.93 : x
  2. Step 2: Convert to fraction form
    644.77/967.16 = 211.93/x
  3. Step 3: Cross multiply
    644.77x = 967.16 × 211.93
  4. Step 4: Simplify right side
    644.77x = 204,966.74
  5. Step 5: Solve for x
    x = 204,966.74/644.77
  6. Step 6: Final answer
    x = 317.89

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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.