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Finding the Fourth Proportional to 524.42, 785.12 and 394.97

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Solution

The fourth proportional to 524.42, 785.12 and 394.97 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 785.12 = 394.97 : x
  2. Step 2: Convert to fraction form
    524.42/785.12 = 394.97/x
  3. Step 3: Cross multiply
    524.42x = 785.12 × 394.97
  4. Step 4: Simplify right side
    524.42x = 310,097.92
  5. Step 5: Solve for x
    x = 310,097.92/524.42
  6. Step 6: Final answer
    x = 591.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.