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Finding the Fourth Proportional to 600.62, 828.11 and 390.50

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Solution

The fourth proportional to 600.62, 828.11 and 390.50 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 828.11 = 390.50 : x
  2. Step 2: Convert to fraction form
    600.62/828.11 = 390.50/x
  3. Step 3: Cross multiply
    600.62x = 828.11 × 390.50
  4. Step 4: Simplify right side
    600.62x = 323,370.86
  5. Step 5: Solve for x
    x = 323,370.86/600.62
  6. Step 6: Final answer
    x = 538.40

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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.