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Finding the Fourth Proportional to 600.71, 828.56 and 539.15

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Solution

The fourth proportional to 600.71, 828.56 and 539.15 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.71 : 828.56 = 539.15 : x
  2. Step 2: Convert to fraction form
    600.71/828.56 = 539.15/x
  3. Step 3: Cross multiply
    600.71x = 828.56 × 539.15
  4. Step 4: Simplify right side
    600.71x = 446,715.33
  5. Step 5: Solve for x
    x = 446,715.33/600.71
  6. Step 6: Final answer
    x = 743.65

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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.