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Finding the Fourth Proportional to 505.86, 698.06 and 309.33

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Solution

The fourth proportional to 505.86, 698.06 and 309.33 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 698.06 = 309.33 : x
  2. Step 2: Convert to fraction form
    505.86/698.06 = 309.33/x
  3. Step 3: Cross multiply
    505.86x = 698.06 × 309.33
  4. Step 4: Simplify right side
    505.86x = 215,929.35
  5. Step 5: Solve for x
    x = 215,929.35/505.86
  6. Step 6: Final answer
    x = 426.86

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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.