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Finding the Fourth Proportional to 582.08, 871.08 and 459.68

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Solution

The fourth proportional to 582.08, 871.08 and 459.68 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 871.08 = 459.68 : x
  2. Step 2: Convert to fraction form
    582.08/871.08 = 459.68/x
  3. Step 3: Cross multiply
    582.08x = 871.08 × 459.68
  4. Step 4: Simplify right side
    582.08x = 400,418.05
  5. Step 5: Solve for x
    x = 400,418.05/582.08
  6. Step 6: Final answer
    x = 687.91

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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.