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Finding the Fourth Proportional to 709.69, 1,063.40 and 449.65

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Solution

The fourth proportional to 709.69, 1,063.40 and 449.65 is: 673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 1,063.40 = 449.65 : x
  2. Step 2: Convert to fraction form
    709.69/1,063.40 = 449.65/x
  3. Step 3: Cross multiply
    709.69x = 1,063.40 × 449.65
  4. Step 4: Simplify right side
    709.69x = 478,157.81
  5. Step 5: Solve for x
    x = 478,157.81/709.69
  6. Step 6: Final answer
    x = 673.76

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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.