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Finding the Fourth Proportional to 584.70, 806.41 and 398.32

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Solution

The fourth proportional to 584.70, 806.41 and 398.32 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 806.41 = 398.32 : x
  2. Step 2: Convert to fraction form
    584.70/806.41 = 398.32/x
  3. Step 3: Cross multiply
    584.70x = 806.41 × 398.32
  4. Step 4: Simplify right side
    584.70x = 321,209.23
  5. Step 5: Solve for x
    x = 321,209.23/584.70
  6. Step 6: Final answer
    x = 549.36

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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.