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Finding the Fourth Proportional to 600.91, 899.93 and 513.74

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Solution

The fourth proportional to 600.91, 899.93 and 513.74 is: 769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 899.93 = 513.74 : x
  2. Step 2: Convert to fraction form
    600.91/899.93 = 513.74/x
  3. Step 3: Cross multiply
    600.91x = 899.93 × 513.74
  4. Step 4: Simplify right side
    600.91x = 462,333.57
  5. Step 5: Solve for x
    x = 462,333.57/600.91
  6. Step 6: Final answer
    x = 769.39

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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.