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Finding the Fourth Proportional to 619.12, 854.22 and 386.20

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Solution

The fourth proportional to 619.12, 854.22 and 386.20 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 854.22 = 386.20 : x
  2. Step 2: Convert to fraction form
    619.12/854.22 = 386.20/x
  3. Step 3: Cross multiply
    619.12x = 854.22 × 386.20
  4. Step 4: Simplify right side
    619.12x = 329,899.76
  5. Step 5: Solve for x
    x = 329,899.76/619.12
  6. Step 6: Final answer
    x = 532.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.