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Finding the Fourth Proportional to 506.83, 699.35 and 296.98

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Solution

The fourth proportional to 506.83, 699.35 and 296.98 is: 409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.83 : 699.35 = 296.98 : x
  2. Step 2: Convert to fraction form
    506.83/699.35 = 296.98/x
  3. Step 3: Cross multiply
    506.83x = 699.35 × 296.98
  4. Step 4: Simplify right side
    506.83x = 207,692.96
  5. Step 5: Solve for x
    x = 207,692.96/506.83
  6. Step 6: Final answer
    x = 409.79

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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.