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Finding the Fourth Proportional to 559.72, 838.68 and 550.63

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Solution

The fourth proportional to 559.72, 838.68 and 550.63 is: 825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.72 : 838.68 = 550.63 : x
  2. Step 2: Convert to fraction form
    559.72/838.68 = 550.63/x
  3. Step 3: Cross multiply
    559.72x = 838.68 × 550.63
  4. Step 4: Simplify right side
    559.72x = 461,802.37
  5. Step 5: Solve for x
    x = 461,802.37/559.72
  6. Step 6: Final answer
    x = 825.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.