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Finding the Fourth Proportional to 523.08, 784.49 and 263.07

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Solution

The fourth proportional to 523.08, 784.49 and 263.07 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 784.49 = 263.07 : x
  2. Step 2: Convert to fraction form
    523.08/784.49 = 263.07/x
  3. Step 3: Cross multiply
    523.08x = 784.49 × 263.07
  4. Step 4: Simplify right side
    523.08x = 206,374.47
  5. Step 5: Solve for x
    x = 206,374.47/523.08
  6. Step 6: Final answer
    x = 394.54

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