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Finding the Fourth Proportional to 405.87, 606.14 and 401.61

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Solution

The fourth proportional to 405.87, 606.14 and 401.61 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.87 : 606.14 = 401.61 : x
  2. Step 2: Convert to fraction form
    405.87/606.14 = 401.61/x
  3. Step 3: Cross multiply
    405.87x = 606.14 × 401.61
  4. Step 4: Simplify right side
    405.87x = 243,431.89
  5. Step 5: Solve for x
    x = 243,431.89/405.87
  6. Step 6: Final answer
    x = 599.78

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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.