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Finding the Fourth Proportional to 812.60, 1,121.46 and 463.40

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Solution

The fourth proportional to 812.60, 1,121.46 and 463.40 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.60 : 1,121.46 = 463.40 : x
  2. Step 2: Convert to fraction form
    812.60/1,121.46 = 463.40/x
  3. Step 3: Cross multiply
    812.60x = 1,121.46 × 463.40
  4. Step 4: Simplify right side
    812.60x = 519,684.56
  5. Step 5: Solve for x
    x = 519,684.56/812.60
  6. Step 6: Final answer
    x = 639.53

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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.