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Finding the Fourth Proportional to 508.11, 761.31 and 345.93

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Solution

The fourth proportional to 508.11, 761.31 and 345.93 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.11 : 761.31 = 345.93 : x
  2. Step 2: Convert to fraction form
    508.11/761.31 = 345.93/x
  3. Step 3: Cross multiply
    508.11x = 761.31 × 345.93
  4. Step 4: Simplify right side
    508.11x = 263,359.97
  5. Step 5: Solve for x
    x = 263,359.97/508.11
  6. Step 6: Final answer
    x = 518.31

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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.