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Finding the Fourth Proportional to 599.32, 897.66 and 381.82

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Solution

The fourth proportional to 599.32, 897.66 and 381.82 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 897.66 = 381.82 : x
  2. Step 2: Convert to fraction form
    599.32/897.66 = 381.82/x
  3. Step 3: Cross multiply
    599.32x = 897.66 × 381.82
  4. Step 4: Simplify right side
    599.32x = 342,744.54
  5. Step 5: Solve for x
    x = 342,744.54/599.32
  6. Step 6: Final answer
    x = 571.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.