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Finding the Fourth Proportional to 494.57, 682.58 and 284.78

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Solution

The fourth proportional to 494.57, 682.58 and 284.78 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.57 : 682.58 = 284.78 : x
  2. Step 2: Convert to fraction form
    494.57/682.58 = 284.78/x
  3. Step 3: Cross multiply
    494.57x = 682.58 × 284.78
  4. Step 4: Simplify right side
    494.57x = 194,385.95
  5. Step 5: Solve for x
    x = 194,385.95/494.57
  6. Step 6: Final answer
    x = 393.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.