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Finding the Fourth Proportional to 709.27, 1,064.21 and 298.49

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Solution

The fourth proportional to 709.27, 1,064.21 and 298.49 is: 447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.27 : 1,064.21 = 298.49 : x
  2. Step 2: Convert to fraction form
    709.27/1,064.21 = 298.49/x
  3. Step 3: Cross multiply
    709.27x = 1,064.21 × 298.49
  4. Step 4: Simplify right side
    709.27x = 317,649.23
  5. Step 5: Solve for x
    x = 317,649.23/709.27
  6. Step 6: Final answer
    x = 447.86

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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.