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Finding the Fourth Proportional to 600.42, 828.86 and 404.07

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Solution

The fourth proportional to 600.42, 828.86 and 404.07 is: 557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 828.86 = 404.07 : x
  2. Step 2: Convert to fraction form
    600.42/828.86 = 404.07/x
  3. Step 3: Cross multiply
    600.42x = 828.86 × 404.07
  4. Step 4: Simplify right side
    600.42x = 334,917.46
  5. Step 5: Solve for x
    x = 334,917.46/600.42
  6. Step 6: Final answer
    x = 557.81

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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.