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Finding the Fourth Proportional to 506.83, 761.46 and 324.58

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Solution

The fourth proportional to 506.83, 761.46 and 324.58 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.83 : 761.46 = 324.58 : x
  2. Step 2: Convert to fraction form
    506.83/761.46 = 324.58/x
  3. Step 3: Cross multiply
    506.83x = 761.46 × 324.58
  4. Step 4: Simplify right side
    506.83x = 247,151.57
  5. Step 5: Solve for x
    x = 247,151.57/506.83
  6. Step 6: Final answer
    x = 487.64

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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.