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Finding the Fourth Proportional to 558.75, 768.47 and 448.05

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Solution

The fourth proportional to 558.75, 768.47 and 448.05 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.75 : 768.47 = 448.05 : x
  2. Step 2: Convert to fraction form
    558.75/768.47 = 448.05/x
  3. Step 3: Cross multiply
    558.75x = 768.47 × 448.05
  4. Step 4: Simplify right side
    558.75x = 344,310.74
  5. Step 5: Solve for x
    x = 344,310.74/558.75
  6. Step 6: Final answer
    x = 616.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.