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Finding the Fourth Proportional to 506.13, 698.45 and 285.07

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Solution

The fourth proportional to 506.13, 698.45 and 285.07 is: 393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 698.45 = 285.07 : x
  2. Step 2: Convert to fraction form
    506.13/698.45 = 285.07/x
  3. Step 3: Cross multiply
    506.13x = 698.45 × 285.07
  4. Step 4: Simplify right side
    506.13x = 199,107.14
  5. Step 5: Solve for x
    x = 199,107.14/506.13
  6. Step 6: Final answer
    x = 393.39

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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.