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Finding the Fourth Proportional to 547.38, 821.25 and 365.49

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Solution

The fourth proportional to 547.38, 821.25 and 365.49 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 821.25 = 365.49 : x
  2. Step 2: Convert to fraction form
    547.38/821.25 = 365.49/x
  3. Step 3: Cross multiply
    547.38x = 821.25 × 365.49
  4. Step 4: Simplify right side
    547.38x = 300,158.66
  5. Step 5: Solve for x
    x = 300,158.66/547.38
  6. Step 6: Final answer
    x = 548.36

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.