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Finding the Fourth Proportional to 508.12, 761.36 and 386.24

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Solution

The fourth proportional to 508.12, 761.36 and 386.24 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 761.36 = 386.24 : x
  2. Step 2: Convert to fraction form
    508.12/761.36 = 386.24/x
  3. Step 3: Cross multiply
    508.12x = 761.36 × 386.24
  4. Step 4: Simplify right side
    508.12x = 294,067.69
  5. Step 5: Solve for x
    x = 294,067.69/508.12
  6. Step 6: Final answer
    x = 578.74

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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.