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Finding the Fourth Proportional to 506.41, 698.84 and 285.40

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Solution

The fourth proportional to 506.41, 698.84 and 285.40 is: 393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 698.84 = 285.40 : x
  2. Step 2: Convert to fraction form
    506.41/698.84 = 285.40/x
  3. Step 3: Cross multiply
    506.41x = 698.84 × 285.40
  4. Step 4: Simplify right side
    506.41x = 199,451.00
  5. Step 5: Solve for x
    x = 199,451.00/506.41
  6. Step 6: Final answer
    x = 393.85

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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.