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Finding the Fourth Proportional to 619.24, 854.56 and 343.24

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Solution

The fourth proportional to 619.24, 854.56 and 343.24 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.24 : 854.56 = 343.24 : x
  2. Step 2: Convert to fraction form
    619.24/854.56 = 343.24/x
  3. Step 3: Cross multiply
    619.24x = 854.56 × 343.24
  4. Step 4: Simplify right side
    619.24x = 293,319.17
  5. Step 5: Solve for x
    x = 293,319.17/619.24
  6. Step 6: Final answer
    x = 473.68

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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.