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Finding the Fourth Proportional to 812.83, 1,119.12 and 688.22

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Solution

The fourth proportional to 812.83, 1,119.12 and 688.22 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.83 : 1,119.12 = 688.22 : x
  2. Step 2: Convert to fraction form
    812.83/1,119.12 = 688.22/x
  3. Step 3: Cross multiply
    812.83x = 1,119.12 × 688.22
  4. Step 4: Simplify right side
    812.83x = 770,200.77
  5. Step 5: Solve for x
    x = 770,200.77/812.83
  6. Step 6: Final answer
    x = 947.55

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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.