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Finding the Fourth Proportional to 505.55, 698.05 and 394.83

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Solution

The fourth proportional to 505.55, 698.05 and 394.83 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.55 : 698.05 = 394.83 : x
  2. Step 2: Convert to fraction form
    505.55/698.05 = 394.83/x
  3. Step 3: Cross multiply
    505.55x = 698.05 × 394.83
  4. Step 4: Simplify right side
    505.55x = 275,611.08
  5. Step 5: Solve for x
    x = 275,611.08/505.55
  6. Step 6: Final answer
    x = 545.17

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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.