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Finding the Fourth Proportional to 598.09, 896.17 and 575.61

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Solution

The fourth proportional to 598.09, 896.17 and 575.61 is: 862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.09 : 896.17 = 575.61 : x
  2. Step 2: Convert to fraction form
    598.09/896.17 = 575.61/x
  3. Step 3: Cross multiply
    598.09x = 896.17 × 575.61
  4. Step 4: Simplify right side
    598.09x = 515,844.41
  5. Step 5: Solve for x
    x = 515,844.41/598.09
  6. Step 6: Final answer
    x = 862.49

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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.