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Finding the Fourth Proportional to 506.06, 697.61 and 309.23

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Solution

The fourth proportional to 506.06, 697.61 and 309.23 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 697.61 = 309.23 : x
  2. Step 2: Convert to fraction form
    506.06/697.61 = 309.23/x
  3. Step 3: Cross multiply
    506.06x = 697.61 × 309.23
  4. Step 4: Simplify right side
    506.06x = 215,725.77
  5. Step 5: Solve for x
    x = 215,725.77/506.06
  6. Step 6: Final answer
    x = 426.28

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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.