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Finding the Fourth Proportional to 872.23, 1,301.71 and 813.91

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Solution

The fourth proportional to 872.23, 1,301.71 and 813.91 is: 1,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.23 : 1,301.71 = 813.91 : x
  2. Step 2: Convert to fraction form
    872.23/1,301.71 = 813.91/x
  3. Step 3: Cross multiply
    872.23x = 1,301.71 × 813.91
  4. Step 4: Simplify right side
    872.23x = 1,059,474.79
  5. Step 5: Solve for x
    x = 1,059,474.79/872.23
  6. Step 6: Final answer
    x = 1,214.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.