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Finding the Fourth Proportional to 558.44, 836.14 and 283.84

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Solution

The fourth proportional to 558.44, 836.14 and 283.84 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.44 : 836.14 = 283.84 : x
  2. Step 2: Convert to fraction form
    558.44/836.14 = 283.84/x
  3. Step 3: Cross multiply
    558.44x = 836.14 × 283.84
  4. Step 4: Simplify right side
    558.44x = 237,329.98
  5. Step 5: Solve for x
    x = 237,329.98/558.44
  6. Step 6: Final answer
    x = 424.99

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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.