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Finding the Fourth Proportional to 508.54, 762.09 and 405.36

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Solution

The fourth proportional to 508.54, 762.09 and 405.36 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.54 : 762.09 = 405.36 : x
  2. Step 2: Convert to fraction form
    508.54/762.09 = 405.36/x
  3. Step 3: Cross multiply
    508.54x = 762.09 × 405.36
  4. Step 4: Simplify right side
    508.54x = 308,920.80
  5. Step 5: Solve for x
    x = 308,920.80/508.54
  6. Step 6: Final answer
    x = 607.47

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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.