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Finding the Fourth Proportional to 508.50, 761.67 and 371.79

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Solution

The fourth proportional to 508.50, 761.67 and 371.79 is: 556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 761.67 = 371.79 : x
  2. Step 2: Convert to fraction form
    508.50/761.67 = 371.79/x
  3. Step 3: Cross multiply
    508.50x = 761.67 × 371.79
  4. Step 4: Simplify right side
    508.50x = 283,181.29
  5. Step 5: Solve for x
    x = 283,181.29/508.50
  6. Step 6: Final answer
    x = 556.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.