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Finding the Fourth Proportional to 401.23, 598.25 and 393.94

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Solution

The fourth proportional to 401.23, 598.25 and 393.94 is: 587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 598.25 = 393.94 : x
  2. Step 2: Convert to fraction form
    401.23/598.25 = 393.94/x
  3. Step 3: Cross multiply
    401.23x = 598.25 × 393.94
  4. Step 4: Simplify right side
    401.23x = 235,671.14
  5. Step 5: Solve for x
    x = 235,671.14/401.23
  6. Step 6: Final answer
    x = 587.38

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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.