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Finding the Fourth Proportional to 506.49, 698.95 and 285.43

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Solution

The fourth proportional to 506.49, 698.95 and 285.43 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 698.95 = 285.43 : x
  2. Step 2: Convert to fraction form
    506.49/698.95 = 285.43/x
  3. Step 3: Cross multiply
    506.49x = 698.95 × 285.43
  4. Step 4: Simplify right side
    506.49x = 199,499.87
  5. Step 5: Solve for x
    x = 199,499.87/506.49
  6. Step 6: Final answer
    x = 393.89

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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.