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Finding the Fourth Proportional to 505.76, 698.00 and 295.91

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Solution

The fourth proportional to 505.76, 698.00 and 295.91 is: 408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 698.00 = 295.91 : x
  2. Step 2: Convert to fraction form
    505.76/698.00 = 295.91/x
  3. Step 3: Cross multiply
    505.76x = 698.00 × 295.91
  4. Step 4: Simplify right side
    505.76x = 206,545.45
  5. Step 5: Solve for x
    x = 206,545.45/505.76
  6. Step 6: Final answer
    x = 408.39

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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.