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Finding the Fourth Proportional to 600.12, 828.50 and 404.68

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Solution

The fourth proportional to 600.12, 828.50 and 404.68 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 828.50 = 404.68 : x
  2. Step 2: Convert to fraction form
    600.12/828.50 = 404.68/x
  3. Step 3: Cross multiply
    600.12x = 828.50 × 404.68
  4. Step 4: Simplify right side
    600.12x = 335,277.38
  5. Step 5: Solve for x
    x = 335,277.38/600.12
  6. Step 6: Final answer
    x = 558.68

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Double scale
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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.