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Finding the Fourth Proportional to 709.45, 1,064.31 and 276.37

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Solution

The fourth proportional to 709.45, 1,064.31 and 276.37 is: 414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 1,064.31 = 276.37 : x
  2. Step 2: Convert to fraction form
    709.45/1,064.31 = 276.37/x
  3. Step 3: Cross multiply
    709.45x = 1,064.31 × 276.37
  4. Step 4: Simplify right side
    709.45x = 294,143.35
  5. Step 5: Solve for x
    x = 294,143.35/709.45
  6. Step 6: Final answer
    x = 414.61

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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.