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Finding the Fourth Proportional to 505.91, 698.42 and 350.39

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Solution

The fourth proportional to 505.91, 698.42 and 350.39 is: 483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.91 : 698.42 = 350.39 : x
  2. Step 2: Convert to fraction form
    505.91/698.42 = 350.39/x
  3. Step 3: Cross multiply
    505.91x = 698.42 × 350.39
  4. Step 4: Simplify right side
    505.91x = 244,719.38
  5. Step 5: Solve for x
    x = 244,719.38/505.91
  6. Step 6: Final answer
    x = 483.72

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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.