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Finding the Fourth Proportional to 506.87, 699.71 and 365.21

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Solution

The fourth proportional to 506.87, 699.71 and 365.21 is: 504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.87 : 699.71 = 365.21 : x
  2. Step 2: Convert to fraction form
    506.87/699.71 = 365.21/x
  3. Step 3: Cross multiply
    506.87x = 699.71 × 365.21
  4. Step 4: Simplify right side
    506.87x = 255,535.76
  5. Step 5: Solve for x
    x = 255,535.76/506.87
  6. Step 6: Final answer
    x = 504.15

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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.