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Finding the Fourth Proportional to 508.68, 761.98 and 325.62

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Solution

The fourth proportional to 508.68, 761.98 and 325.62 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 761.98 = 325.62 : x
  2. Step 2: Convert to fraction form
    508.68/761.98 = 325.62/x
  3. Step 3: Cross multiply
    508.68x = 761.98 × 325.62
  4. Step 4: Simplify right side
    508.68x = 248,115.93
  5. Step 5: Solve for x
    x = 248,115.93/508.68
  6. Step 6: Final answer
    x = 487.76

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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.