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Finding the Fourth Proportional to 506.90, 699.48 and 297.05

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Solution

The fourth proportional to 506.90, 699.48 and 297.05 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 699.48 = 297.05 : x
  2. Step 2: Convert to fraction form
    506.90/699.48 = 297.05/x
  3. Step 3: Cross multiply
    506.90x = 699.48 × 297.05
  4. Step 4: Simplify right side
    506.90x = 207,778.04
  5. Step 5: Solve for x
    x = 207,778.04/506.90
  6. Step 6: Final answer
    x = 409.90

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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.