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Finding the Fourth Proportional to 846.54, 1,169.05 and 551.97

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Solution

The fourth proportional to 846.54, 1,169.05 and 551.97 is: 762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.54 : 1,169.05 = 551.97 : x
  2. Step 2: Convert to fraction form
    846.54/1,169.05 = 551.97/x
  3. Step 3: Cross multiply
    846.54x = 1,169.05 × 551.97
  4. Step 4: Simplify right side
    846.54x = 645,280.53
  5. Step 5: Solve for x
    x = 645,280.53/846.54
  6. Step 6: Final answer
    x = 762.26

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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.