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Finding the Fourth Proportional to 401.26, 598.45 and 393.14

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Solution

The fourth proportional to 401.26, 598.45 and 393.14 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 598.45 = 393.14 : x
  2. Step 2: Convert to fraction form
    401.26/598.45 = 393.14/x
  3. Step 3: Cross multiply
    401.26x = 598.45 × 393.14
  4. Step 4: Simplify right side
    401.26x = 235,272.67
  5. Step 5: Solve for x
    x = 235,272.67/401.26
  6. Step 6: Final answer
    x = 586.33

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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.