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Finding the Fourth Proportional to 565.58, 778.25 and 548.66

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Solution

The fourth proportional to 565.58, 778.25 and 548.66 is: 754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 778.25 = 548.66 : x
  2. Step 2: Convert to fraction form
    565.58/778.25 = 548.66/x
  3. Step 3: Cross multiply
    565.58x = 778.25 × 548.66
  4. Step 4: Simplify right side
    565.58x = 426,997.96
  5. Step 5: Solve for x
    x = 426,997.96/565.58
  6. Step 6: Final answer
    x = 754.97

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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.