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Finding the Fourth Proportional to 521.44, 785.32 and 394.08

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Solution

The fourth proportional to 521.44, 785.32 and 394.08 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 785.32 = 394.08 : x
  2. Step 2: Convert to fraction form
    521.44/785.32 = 394.08/x
  3. Step 3: Cross multiply
    521.44x = 785.32 × 394.08
  4. Step 4: Simplify right side
    521.44x = 309,478.91
  5. Step 5: Solve for x
    x = 309,478.91/521.44
  6. Step 6: Final answer
    x = 593.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.