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Finding the Fourth Proportional to 547.41, 822.53 and 411.33

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Solution

The fourth proportional to 547.41, 822.53 and 411.33 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 822.53 = 411.33 : x
  2. Step 2: Convert to fraction form
    547.41/822.53 = 411.33/x
  3. Step 3: Cross multiply
    547.41x = 822.53 × 411.33
  4. Step 4: Simplify right side
    547.41x = 338,325.10
  5. Step 5: Solve for x
    x = 338,325.10/547.41
  6. Step 6: Final answer
    x = 618.05

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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.