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Finding the Fourth Proportional to 658.44, 983.19 and 589.19

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Solution

The fourth proportional to 658.44, 983.19 and 589.19 is: 879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 983.19 = 589.19 : x
  2. Step 2: Convert to fraction form
    658.44/983.19 = 589.19/x
  3. Step 3: Cross multiply
    658.44x = 983.19 × 589.19
  4. Step 4: Simplify right side
    658.44x = 579,283.01
  5. Step 5: Solve for x
    x = 579,283.01/658.44
  6. Step 6: Final answer
    x = 879.78

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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.