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Finding the Fourth Proportional to 812.30, 1,120.97 and 458.22

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Solution

The fourth proportional to 812.30, 1,120.97 and 458.22 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.30 : 1,120.97 = 458.22 : x
  2. Step 2: Convert to fraction form
    812.30/1,120.97 = 458.22/x
  3. Step 3: Cross multiply
    812.30x = 1,120.97 × 458.22
  4. Step 4: Simplify right side
    812.30x = 513,650.87
  5. Step 5: Solve for x
    x = 513,650.87/812.30
  6. Step 6: Final answer
    x = 632.34

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1.5x scale

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.