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Finding the Fourth Proportional to 589.68, 878.11 and 583.22

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Solution

The fourth proportional to 589.68, 878.11 and 583.22 is: 868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 878.11 = 583.22 : x
  2. Step 2: Convert to fraction form
    589.68/878.11 = 583.22/x
  3. Step 3: Cross multiply
    589.68x = 878.11 × 583.22
  4. Step 4: Simplify right side
    589.68x = 512,128.40
  5. Step 5: Solve for x
    x = 512,128.40/589.68
  6. Step 6: Final answer
    x = 868.49

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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.