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Finding the Fourth Proportional to 598.52, 826.24 and 399.68

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Solution

The fourth proportional to 598.52, 826.24 and 399.68 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.52 : 826.24 = 399.68 : x
  2. Step 2: Convert to fraction form
    598.52/826.24 = 399.68/x
  3. Step 3: Cross multiply
    598.52x = 826.24 × 399.68
  4. Step 4: Simplify right side
    598.52x = 330,232.67
  5. Step 5: Solve for x
    x = 330,232.67/598.52
  6. Step 6: Final answer
    x = 551.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.