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Finding the Fourth Proportional to 508.61, 764.13 and 326.36

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Solution

The fourth proportional to 508.61, 764.13 and 326.36 is: 490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.61 : 764.13 = 326.36 : x
  2. Step 2: Convert to fraction form
    508.61/764.13 = 326.36/x
  3. Step 3: Cross multiply
    508.61x = 764.13 × 326.36
  4. Step 4: Simplify right side
    508.61x = 249,379.90
  5. Step 5: Solve for x
    x = 249,379.90/508.61
  6. Step 6: Final answer
    x = 490.32

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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.