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Finding the Fourth Proportional to 709.78, 1,064.67 and 222.83

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Solution

The fourth proportional to 709.78, 1,064.67 and 222.83 is: 334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,064.67 = 222.83 : x
  2. Step 2: Convert to fraction form
    709.78/1,064.67 = 222.83/x
  3. Step 3: Cross multiply
    709.78x = 1,064.67 × 222.83
  4. Step 4: Simplify right side
    709.78x = 237,240.42
  5. Step 5: Solve for x
    x = 237,240.42/709.78
  6. Step 6: Final answer
    x = 334.25

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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.