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Finding the Fourth Proportional to 559.64, 838.82 and 285.34

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Solution

The fourth proportional to 559.64, 838.82 and 285.34 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 838.82 = 285.34 : x
  2. Step 2: Convert to fraction form
    559.64/838.82 = 285.34/x
  3. Step 3: Cross multiply
    559.64x = 838.82 × 285.34
  4. Step 4: Simplify right side
    559.64x = 239,348.90
  5. Step 5: Solve for x
    x = 239,348.90/559.64
  6. Step 6: Final answer
    x = 427.68

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