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Finding the Fourth Proportional to 401.21, 598.07 and 396.89

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Solution

The fourth proportional to 401.21, 598.07 and 396.89 is: 591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.21 : 598.07 = 396.89 : x
  2. Step 2: Convert to fraction form
    401.21/598.07 = 396.89/x
  3. Step 3: Cross multiply
    401.21x = 598.07 × 396.89
  4. Step 4: Simplify right side
    401.21x = 237,368.00
  5. Step 5: Solve for x
    x = 237,368.00/401.21
  6. Step 6: Final answer
    x = 591.63

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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.