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Finding the Fourth Proportional to 508.20, 699.71 and 448.31

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Solution

The fourth proportional to 508.20, 699.71 and 448.31 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 699.71 = 448.31 : x
  2. Step 2: Convert to fraction form
    508.20/699.71 = 448.31/x
  3. Step 3: Cross multiply
    508.20x = 699.71 × 448.31
  4. Step 4: Simplify right side
    508.20x = 313,685.56
  5. Step 5: Solve for x
    x = 313,685.56/508.20
  6. Step 6: Final answer
    x = 617.25

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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.