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Finding the Fourth Proportional to 709.82, 1,064.78 and 222.87

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Solution

The fourth proportional to 709.82, 1,064.78 and 222.87 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 1,064.78 = 222.87 : x
  2. Step 2: Convert to fraction form
    709.82/1,064.78 = 222.87/x
  3. Step 3: Cross multiply
    709.82x = 1,064.78 × 222.87
  4. Step 4: Simplify right side
    709.82x = 237,304.08
  5. Step 5: Solve for x
    x = 237,304.08/709.82
  6. Step 6: Final answer
    x = 334.32

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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.