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Finding the Fourth Proportional to 843.68, 1,263.11 and 551.51

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Solution

The fourth proportional to 843.68, 1,263.11 and 551.51 is: 825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,263.11 = 551.51 : x
  2. Step 2: Convert to fraction form
    843.68/1,263.11 = 551.51/x
  3. Step 3: Cross multiply
    843.68x = 1,263.11 × 551.51
  4. Step 4: Simplify right side
    843.68x = 696,613.46
  5. Step 5: Solve for x
    x = 696,613.46/843.68
  6. Step 6: Final answer
    x = 825.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.