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Finding the Fourth Proportional to 523.24, 721.65 and 336.75

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Solution

The fourth proportional to 523.24, 721.65 and 336.75 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 721.65 = 336.75 : x
  2. Step 2: Convert to fraction form
    523.24/721.65 = 336.75/x
  3. Step 3: Cross multiply
    523.24x = 721.65 × 336.75
  4. Step 4: Simplify right side
    523.24x = 243,015.64
  5. Step 5: Solve for x
    x = 243,015.64/523.24
  6. Step 6: Final answer
    x = 464.44

Related Problems

Find fourth proportional to 261.62, 360.83 and 168.38
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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.