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Finding the Fourth Proportional to 505.37, 697.19 and 308.77

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Solution

The fourth proportional to 505.37, 697.19 and 308.77 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.37 : 697.19 = 308.77 : x
  2. Step 2: Convert to fraction form
    505.37/697.19 = 308.77/x
  3. Step 3: Cross multiply
    505.37x = 697.19 × 308.77
  4. Step 4: Simplify right side
    505.37x = 215,269.23
  5. Step 5: Solve for x
    x = 215,269.23/505.37
  6. Step 6: Final answer
    x = 425.96

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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.