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Finding the Fourth Proportional to 523.69, 784.99 and 259.97

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Solution

The fourth proportional to 523.69, 784.99 and 259.97 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 784.99 = 259.97 : x
  2. Step 2: Convert to fraction form
    523.69/784.99 = 259.97/x
  3. Step 3: Cross multiply
    523.69x = 784.99 × 259.97
  4. Step 4: Simplify right side
    523.69x = 204,074.11
  5. Step 5: Solve for x
    x = 204,074.11/523.69
  6. Step 6: Final answer
    x = 389.68

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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.