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Finding the Fourth Proportional to 582.04, 872.45 and 216.68

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Solution

The fourth proportional to 582.04, 872.45 and 216.68 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.04 : 872.45 = 216.68 : x
  2. Step 2: Convert to fraction form
    582.04/872.45 = 216.68/x
  3. Step 3: Cross multiply
    582.04x = 872.45 × 216.68
  4. Step 4: Simplify right side
    582.04x = 189,043.96
  5. Step 5: Solve for x
    x = 189,043.96/582.04
  6. Step 6: Final answer
    x = 324.79

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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.