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Finding the Fourth Proportional to 812.63, 1,121.96 and 502.67

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Solution

The fourth proportional to 812.63, 1,121.96 and 502.67 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.63 : 1,121.96 = 502.67 : x
  2. Step 2: Convert to fraction form
    812.63/1,121.96 = 502.67/x
  3. Step 3: Cross multiply
    812.63x = 1,121.96 × 502.67
  4. Step 4: Simplify right side
    812.63x = 563,971.28
  5. Step 5: Solve for x
    x = 563,971.28/812.63
  6. Step 6: Final answer
    x = 694.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.