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Finding the Fourth Proportional to 558.44, 838.18 and 284.72

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Solution

The fourth proportional to 558.44, 838.18 and 284.72 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.44 : 838.18 = 284.72 : x
  2. Step 2: Convert to fraction form
    558.44/838.18 = 284.72/x
  3. Step 3: Cross multiply
    558.44x = 838.18 × 284.72
  4. Step 4: Simplify right side
    558.44x = 238,646.61
  5. Step 5: Solve for x
    x = 238,646.61/558.44
  6. Step 6: Final answer
    x = 427.35

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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.