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Finding the Fourth Proportional to 597.25, 824.21 and 401.23

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Solution

The fourth proportional to 597.25, 824.21 and 401.23 is: 553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 824.21 = 401.23 : x
  2. Step 2: Convert to fraction form
    597.25/824.21 = 401.23/x
  3. Step 3: Cross multiply
    597.25x = 824.21 × 401.23
  4. Step 4: Simplify right side
    597.25x = 330,697.78
  5. Step 5: Solve for x
    x = 330,697.78/597.25
  6. Step 6: Final answer
    x = 553.70

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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.