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Finding the Fourth Proportional to 506.28, 698.69 and 309.83

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Solution

The fourth proportional to 506.28, 698.69 and 309.83 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 698.69 = 309.83 : x
  2. Step 2: Convert to fraction form
    506.28/698.69 = 309.83/x
  3. Step 3: Cross multiply
    506.28x = 698.69 × 309.83
  4. Step 4: Simplify right side
    506.28x = 216,477.64
  5. Step 5: Solve for x
    x = 216,477.64/506.28
  6. Step 6: Final answer
    x = 427.58

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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.