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Finding the Fourth Proportional to 584.78, 806.46 and 538.25

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Solution

The fourth proportional to 584.78, 806.46 and 538.25 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.78 : 806.46 = 538.25 : x
  2. Step 2: Convert to fraction form
    584.78/806.46 = 538.25/x
  3. Step 3: Cross multiply
    584.78x = 806.46 × 538.25
  4. Step 4: Simplify right side
    584.78x = 434,077.10
  5. Step 5: Solve for x
    x = 434,077.10/584.78
  6. Step 6: Final answer
    x = 742.29

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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.