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Finding the Fourth Proportional to 589.61, 879.22 and 584.34

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Solution

The fourth proportional to 589.61, 879.22 and 584.34 is: 871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 879.22 = 584.34 : x
  2. Step 2: Convert to fraction form
    589.61/879.22 = 584.34/x
  3. Step 3: Cross multiply
    589.61x = 879.22 × 584.34
  4. Step 4: Simplify right side
    589.61x = 513,763.41
  5. Step 5: Solve for x
    x = 513,763.41/589.61
  6. Step 6: Final answer
    x = 871.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.