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Finding the Fourth Proportional to 815.68, 1,223.91 and 708.22

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Solution

The fourth proportional to 815.68, 1,223.91 and 708.22 is: 1,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.68 : 1,223.91 = 708.22 : x
  2. Step 2: Convert to fraction form
    815.68/1,223.91 = 708.22/x
  3. Step 3: Cross multiply
    815.68x = 1,223.91 × 708.22
  4. Step 4: Simplify right side
    815.68x = 866,797.54
  5. Step 5: Solve for x
    x = 866,797.54/815.68
  6. Step 6: Final answer
    x = 1,062.67

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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.