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Finding the Fourth Proportional to 619.44, 854.16 and 568.80

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Solution

The fourth proportional to 619.44, 854.16 and 568.80 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.44 : 854.16 = 568.80 : x
  2. Step 2: Convert to fraction form
    619.44/854.16 = 568.80/x
  3. Step 3: Cross multiply
    619.44x = 854.16 × 568.80
  4. Step 4: Simplify right side
    619.44x = 485,846.21
  5. Step 5: Solve for x
    x = 485,846.21/619.44
  6. Step 6: Final answer
    x = 784.33

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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.