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Finding the Fourth Proportional to 505.79, 698.02 and 295.91

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Solution

The fourth proportional to 505.79, 698.02 and 295.91 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.79 : 698.02 = 295.91 : x
  2. Step 2: Convert to fraction form
    505.79/698.02 = 295.91/x
  3. Step 3: Cross multiply
    505.79x = 698.02 × 295.91
  4. Step 4: Simplify right side
    505.79x = 206,551.10
  5. Step 5: Solve for x
    x = 206,551.10/505.79
  6. Step 6: Final answer
    x = 408.37

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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.