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Finding the Fourth Proportional to 568.82, 784.22 and 418.91

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Solution

The fourth proportional to 568.82, 784.22 and 418.91 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.82 : 784.22 = 418.91 : x
  2. Step 2: Convert to fraction form
    568.82/784.22 = 418.91/x
  3. Step 3: Cross multiply
    568.82x = 784.22 × 418.91
  4. Step 4: Simplify right side
    568.82x = 328,511.58
  5. Step 5: Solve for x
    x = 328,511.58/568.82
  6. Step 6: Final answer
    x = 577.53

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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.