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Finding the Fourth Proportional to 568.31, 854.37 and 448.02

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Solution

The fourth proportional to 568.31, 854.37 and 448.02 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.31 : 854.37 = 448.02 : x
  2. Step 2: Convert to fraction form
    568.31/854.37 = 448.02/x
  3. Step 3: Cross multiply
    568.31x = 854.37 × 448.02
  4. Step 4: Simplify right side
    568.31x = 382,774.85
  5. Step 5: Solve for x
    x = 382,774.85/568.31
  6. Step 6: Final answer
    x = 673.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.