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Finding the Fourth Proportional to 558.22, 768.75 and 478.91

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Solution

The fourth proportional to 558.22, 768.75 and 478.91 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 768.75 = 478.91 : x
  2. Step 2: Convert to fraction form
    558.22/768.75 = 478.91/x
  3. Step 3: Cross multiply
    558.22x = 768.75 × 478.91
  4. Step 4: Simplify right side
    558.22x = 368,162.06
  5. Step 5: Solve for x
    x = 368,162.06/558.22
  6. Step 6: Final answer
    x = 659.53

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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.