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Finding the Fourth Proportional to 598.00, 896.01 and 575.22

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Solution

The fourth proportional to 598.00, 896.01 and 575.22 is: 861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.00 : 896.01 = 575.22 : x
  2. Step 2: Convert to fraction form
    598.00/896.01 = 575.22/x
  3. Step 3: Cross multiply
    598.00x = 896.01 × 575.22
  4. Step 4: Simplify right side
    598.00x = 515,398.39
  5. Step 5: Solve for x
    x = 515,398.39/598.00
  6. Step 6: Final answer
    x = 861.88

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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.