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Finding the Fourth Proportional to 558.94, 838.15 and 285.18

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Solution

The fourth proportional to 558.94, 838.15 and 285.18 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.94 : 838.15 = 285.18 : x
  2. Step 2: Convert to fraction form
    558.94/838.15 = 285.18/x
  3. Step 3: Cross multiply
    558.94x = 838.15 × 285.18
  4. Step 4: Simplify right side
    558.94x = 239,023.62
  5. Step 5: Solve for x
    x = 239,023.62/558.94
  6. Step 6: Final answer
    x = 427.64

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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.