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Finding the Fourth Proportional to 508.25, 701.52 and 383.78

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Solution

The fourth proportional to 508.25, 701.52 and 383.78 is: 529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 701.52 = 383.78 : x
  2. Step 2: Convert to fraction form
    508.25/701.52 = 383.78/x
  3. Step 3: Cross multiply
    508.25x = 701.52 × 383.78
  4. Step 4: Simplify right side
    508.25x = 269,229.35
  5. Step 5: Solve for x
    x = 269,229.35/508.25
  6. Step 6: Final answer
    x = 529.72

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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.