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Finding the Fourth Proportional to 569.91, 854.87 and 448.82

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Solution

The fourth proportional to 569.91, 854.87 and 448.82 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 854.87 = 448.82 : x
  2. Step 2: Convert to fraction form
    569.91/854.87 = 448.82/x
  3. Step 3: Cross multiply
    569.91x = 854.87 × 448.82
  4. Step 4: Simplify right side
    569.91x = 383,676.23
  5. Step 5: Solve for x
    x = 383,676.23/569.91
  6. Step 6: Final answer
    x = 673.22

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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.