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Finding the Fourth Proportional to 505.96, 697.86 and 309.54

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Solution

The fourth proportional to 505.96, 697.86 and 309.54 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 697.86 = 309.54 : x
  2. Step 2: Convert to fraction form
    505.96/697.86 = 309.54/x
  3. Step 3: Cross multiply
    505.96x = 697.86 × 309.54
  4. Step 4: Simplify right side
    505.96x = 216,015.58
  5. Step 5: Solve for x
    x = 216,015.58/505.96
  6. Step 6: Final answer
    x = 426.94

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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.