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Finding the Fourth Proportional to 584.82, 806.76 and 567

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Solution

The fourth proportional to 584.82, 806.76 and 567 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 806.76 = 567 : x
  2. Step 2: Convert to fraction form
    584.82/806.76 = 567/x
  3. Step 3: Cross multiply
    584.82x = 806.76 × 567
  4. Step 4: Simplify right side
    584.82x = 457,432.92
  5. Step 5: Solve for x
    x = 457,432.92/584.82
  6. Step 6: Final answer
    x = 782.18

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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.