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Finding the Fourth Proportional to 579.81, 868.77 and 488.46

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Solution

The fourth proportional to 579.81, 868.77 and 488.46 is: 731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.81 : 868.77 = 488.46 : x
  2. Step 2: Convert to fraction form
    579.81/868.77 = 488.46/x
  3. Step 3: Cross multiply
    579.81x = 868.77 × 488.46
  4. Step 4: Simplify right side
    579.81x = 424,359.39
  5. Step 5: Solve for x
    x = 424,359.39/579.81
  6. Step 6: Final answer
    x = 731.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.