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Finding the Fourth Proportional to 400.75, 597.62 and 364.54

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Solution

The fourth proportional to 400.75, 597.62 and 364.54 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 597.62 = 364.54 : x
  2. Step 2: Convert to fraction form
    400.75/597.62 = 364.54/x
  3. Step 3: Cross multiply
    400.75x = 597.62 × 364.54
  4. Step 4: Simplify right side
    400.75x = 217,856.39
  5. Step 5: Solve for x
    x = 217,856.39/400.75
  6. Step 6: Final answer
    x = 543.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.