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Finding the Fourth Proportional to 505.38, 697.64 and 308.96

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Solution

The fourth proportional to 505.38, 697.64 and 308.96 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 697.64 = 308.96 : x
  2. Step 2: Convert to fraction form
    505.38/697.64 = 308.96/x
  3. Step 3: Cross multiply
    505.38x = 697.64 × 308.96
  4. Step 4: Simplify right side
    505.38x = 215,542.85
  5. Step 5: Solve for x
    x = 215,542.85/505.38
  6. Step 6: Final answer
    x = 426.50

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1.5x scale

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.