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Finding the Fourth Proportional to 558.83, 838.77 and 285.12

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Solution

The fourth proportional to 558.83, 838.77 and 285.12 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.83 : 838.77 = 285.12 : x
  2. Step 2: Convert to fraction form
    558.83/838.77 = 285.12/x
  3. Step 3: Cross multiply
    558.83x = 838.77 × 285.12
  4. Step 4: Simplify right side
    558.83x = 239,145.89
  5. Step 5: Solve for x
    x = 239,145.89/558.83
  6. Step 6: Final answer
    x = 427.94

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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.