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Finding the Fourth Proportional to 619, 854.28 and 386.08

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Solution

The fourth proportional to 619, 854.28 and 386.08 is: 532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    619 : 854.28 = 386.08 : x
  2. Step 2: Convert to fraction form
    619/854.28 = 386.08/x
  3. Step 3: Cross multiply
    619x = 854.28 × 386.08
  4. Step 4: Simplify right side
    619x = 329,820.42
  5. Step 5: Solve for x
    x = 329,820.42/619
  6. Step 6: Final answer
    x = 532.83

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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.