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Finding the Fourth Proportional to 582.69, 871.46 and 518.15

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Solution

The fourth proportional to 582.69, 871.46 and 518.15 is: 774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 871.46 = 518.15 : x
  2. Step 2: Convert to fraction form
    582.69/871.46 = 518.15/x
  3. Step 3: Cross multiply
    582.69x = 871.46 × 518.15
  4. Step 4: Simplify right side
    582.69x = 451,543.63
  5. Step 5: Solve for x
    x = 451,543.63/582.69
  6. Step 6: Final answer
    x = 774.92

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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.