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Finding the Fourth Proportional to 590.20, 889.72 and 550.56

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Solution

The fourth proportional to 590.20, 889.72 and 550.56 is: 829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.20 : 889.72 = 550.56 : x
  2. Step 2: Convert to fraction form
    590.20/889.72 = 550.56/x
  3. Step 3: Cross multiply
    590.20x = 889.72 × 550.56
  4. Step 4: Simplify right side
    590.20x = 489,844.24
  5. Step 5: Solve for x
    x = 489,844.24/590.20
  6. Step 6: Final answer
    x = 829.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.