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Finding the Fourth Proportional to 523.01, 721.49 and 365.74

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Solution

The fourth proportional to 523.01, 721.49 and 365.74 is: 504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.01 : 721.49 = 365.74 : x
  2. Step 2: Convert to fraction form
    523.01/721.49 = 365.74/x
  3. Step 3: Cross multiply
    523.01x = 721.49 × 365.74
  4. Step 4: Simplify right side
    523.01x = 263,874.12
  5. Step 5: Solve for x
    x = 263,874.12/523.01
  6. Step 6: Final answer
    x = 504.53

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.