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Finding the Fourth Proportional to 506.03, 698.42 and 309.69

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Solution

The fourth proportional to 506.03, 698.42 and 309.69 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.03 : 698.42 = 309.69 : x
  2. Step 2: Convert to fraction form
    506.03/698.42 = 309.69/x
  3. Step 3: Cross multiply
    506.03x = 698.42 × 309.69
  4. Step 4: Simplify right side
    506.03x = 216,294.46
  5. Step 5: Solve for x
    x = 216,294.46/506.03
  6. Step 6: Final answer
    x = 427.44

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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.