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Finding the Fourth Proportional to 547.71, 822.10 and 374.64

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Solution

The fourth proportional to 547.71, 822.10 and 374.64 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 822.10 = 374.64 : x
  2. Step 2: Convert to fraction form
    547.71/822.10 = 374.64/x
  3. Step 3: Cross multiply
    547.71x = 822.10 × 374.64
  4. Step 4: Simplify right side
    547.71x = 307,991.54
  5. Step 5: Solve for x
    x = 307,991.54/547.71
  6. Step 6: Final answer
    x = 562.33

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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.