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Finding the Fourth Proportional to 812.46, 1,125.75 and 801.93

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Solution

The fourth proportional to 812.46, 1,125.75 and 801.93 is: 1,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.46 : 1,125.75 = 801.93 : x
  2. Step 2: Convert to fraction form
    812.46/1,125.75 = 801.93/x
  3. Step 3: Cross multiply
    812.46x = 1,125.75 × 801.93
  4. Step 4: Simplify right side
    812.46x = 902,772.70
  5. Step 5: Solve for x
    x = 902,772.70/812.46
  6. Step 6: Final answer
    x = 1,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.