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Finding the Fourth Proportional to 401, 595.28 and 394.52

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Solution

The fourth proportional to 401, 595.28 and 394.52 is: 585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 595.28 = 394.52 : x
  2. Step 2: Convert to fraction form
    401/595.28 = 394.52/x
  3. Step 3: Cross multiply
    401x = 595.28 × 394.52
  4. Step 4: Simplify right side
    401x = 234,849.87
  5. Step 5: Solve for x
    x = 234,849.87/401
  6. Step 6: Final answer
    x = 585.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.