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Finding the Fourth Proportional to 559.16, 838.94 and 285.38

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Solution

The fourth proportional to 559.16, 838.94 and 285.38 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 838.94 = 285.38 : x
  2. Step 2: Convert to fraction form
    559.16/838.94 = 285.38/x
  3. Step 3: Cross multiply
    559.16x = 838.94 × 285.38
  4. Step 4: Simplify right side
    559.16x = 239,411.08
  5. Step 5: Solve for x
    x = 239,411.08/559.16
  6. Step 6: Final answer
    x = 428.17

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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.