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Finding the Fourth Proportional to 506.27, 698.23 and 427.77

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Solution

The fourth proportional to 506.27, 698.23 and 427.77 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 698.23 = 427.77 : x
  2. Step 2: Convert to fraction form
    506.27/698.23 = 427.77/x
  3. Step 3: Cross multiply
    506.27x = 698.23 × 427.77
  4. Step 4: Simplify right side
    506.27x = 298,681.85
  5. Step 5: Solve for x
    x = 298,681.85/506.27
  6. Step 6: Final answer
    x = 589.97

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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.