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Finding the Fourth Proportional to 619.12, 854.45 and 353.57

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Solution

The fourth proportional to 619.12, 854.45 and 353.57 is: 487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 854.45 = 353.57 : x
  2. Step 2: Convert to fraction form
    619.12/854.45 = 353.57/x
  3. Step 3: Cross multiply
    619.12x = 854.45 × 353.57
  4. Step 4: Simplify right side
    619.12x = 302,103.17
  5. Step 5: Solve for x
    x = 302,103.17/619.12
  6. Step 6: Final answer
    x = 487.96

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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.