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Finding the Fourth Proportional to 597.90, 824.94 and 401.46

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Solution

The fourth proportional to 597.90, 824.94 and 401.46 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 824.94 = 401.46 : x
  2. Step 2: Convert to fraction form
    597.90/824.94 = 401.46/x
  3. Step 3: Cross multiply
    597.90x = 824.94 × 401.46
  4. Step 4: Simplify right side
    597.90x = 331,180.41
  5. Step 5: Solve for x
    x = 331,180.41/597.90
  6. Step 6: Final answer
    x = 553.91

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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.