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Finding the Fourth Proportional to 812.00, 1,120.57 and 462.69

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Solution

The fourth proportional to 812.00, 1,120.57 and 462.69 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.00 : 1,120.57 = 462.69 : x
  2. Step 2: Convert to fraction form
    812.00/1,120.57 = 462.69/x
  3. Step 3: Cross multiply
    812.00x = 1,120.57 × 462.69
  4. Step 4: Simplify right side
    812.00x = 518,475.38
  5. Step 5: Solve for x
    x = 518,475.38/812.00
  6. Step 6: Final answer
    x = 638.51

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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.