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Finding the Fourth Proportional to 597.98, 824.96 and 401.55

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Solution

The fourth proportional to 597.98, 824.96 and 401.55 is: 553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 824.96 = 401.55 : x
  2. Step 2: Convert to fraction form
    597.98/824.96 = 401.55/x
  3. Step 3: Cross multiply
    597.98x = 824.96 × 401.55
  4. Step 4: Simplify right side
    597.98x = 331,260.68
  5. Step 5: Solve for x
    x = 331,260.68/597.98
  6. Step 6: Final answer
    x = 553.97

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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.