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Finding the Fourth Proportional to 589.95, 889.34 and 550.31

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Solution

The fourth proportional to 589.95, 889.34 and 550.31 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 889.34 = 550.31 : x
  2. Step 2: Convert to fraction form
    589.95/889.34 = 550.31/x
  3. Step 3: Cross multiply
    589.95x = 889.34 × 550.31
  4. Step 4: Simplify right side
    589.95x = 489,408.25
  5. Step 5: Solve for x
    x = 489,408.25/589.95
  6. Step 6: Final answer
    x = 829.58

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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.