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Finding the Fourth Proportional to 600.76, 899.15 and 546.79

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Solution

The fourth proportional to 600.76, 899.15 and 546.79 is: 818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 899.15 = 546.79 : x
  2. Step 2: Convert to fraction form
    600.76/899.15 = 546.79/x
  3. Step 3: Cross multiply
    600.76x = 899.15 × 546.79
  4. Step 4: Simplify right side
    600.76x = 491,641.73
  5. Step 5: Solve for x
    x = 491,641.73/600.76
  6. Step 6: Final answer
    x = 818.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.