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Finding the Fourth Proportional to 600.70, 828.42 and 390.66

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Solution

The fourth proportional to 600.70, 828.42 and 390.66 is: 538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 828.42 = 390.66 : x
  2. Step 2: Convert to fraction form
    600.70/828.42 = 390.66/x
  3. Step 3: Cross multiply
    600.70x = 828.42 × 390.66
  4. Step 4: Simplify right side
    600.70x = 323,630.56
  5. Step 5: Solve for x
    x = 323,630.56/600.70
  6. Step 6: Final answer
    x = 538.76

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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.