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Finding the Fourth Proportional to 599.09, 898.01 and 434.15

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Solution

The fourth proportional to 599.09, 898.01 and 434.15 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 898.01 = 434.15 : x
  2. Step 2: Convert to fraction form
    599.09/898.01 = 434.15/x
  3. Step 3: Cross multiply
    599.09x = 898.01 × 434.15
  4. Step 4: Simplify right side
    599.09x = 389,874.37
  5. Step 5: Solve for x
    x = 389,874.37/599.09
  6. Step 6: Final answer
    x = 650.78

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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.