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Finding the Fourth Proportional to 584.86, 807.44 and 398.63

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Solution

The fourth proportional to 584.86, 807.44 and 398.63 is: 550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.86 : 807.44 = 398.63 : x
  2. Step 2: Convert to fraction form
    584.86/807.44 = 398.63/x
  3. Step 3: Cross multiply
    584.86x = 807.44 × 398.63
  4. Step 4: Simplify right side
    584.86x = 321,866.70
  5. Step 5: Solve for x
    x = 321,866.70/584.86
  6. Step 6: Final answer
    x = 550.33

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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.