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Finding the Fourth Proportional to 508.59, 761.67 and 345.78

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Solution

The fourth proportional to 508.59, 761.67 and 345.78 is: 517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.59 : 761.67 = 345.78 : x
  2. Step 2: Convert to fraction form
    508.59/761.67 = 345.78/x
  3. Step 3: Cross multiply
    508.59x = 761.67 × 345.78
  4. Step 4: Simplify right side
    508.59x = 263,370.25
  5. Step 5: Solve for x
    x = 263,370.25/508.59
  6. Step 6: Final answer
    x = 517.84

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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.