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Finding the Fourth Proportional to 579.57, 864.19 and 515.18

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Solution

The fourth proportional to 579.57, 864.19 and 515.18 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.57 : 864.19 = 515.18 : x
  2. Step 2: Convert to fraction form
    579.57/864.19 = 515.18/x
  3. Step 3: Cross multiply
    579.57x = 864.19 × 515.18
  4. Step 4: Simplify right side
    579.57x = 445,210.60
  5. Step 5: Solve for x
    x = 445,210.60/579.57
  6. Step 6: Final answer
    x = 768.17

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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.