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Finding the Fourth Proportional to 582.06, 873.43 and 217.10

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Solution

The fourth proportional to 582.06, 873.43 and 217.10 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.06 : 873.43 = 217.10 : x
  2. Step 2: Convert to fraction form
    582.06/873.43 = 217.10/x
  3. Step 3: Cross multiply
    582.06x = 873.43 × 217.10
  4. Step 4: Simplify right side
    582.06x = 189,621.65
  5. Step 5: Solve for x
    x = 189,621.65/582.06
  6. Step 6: Final answer
    x = 325.78

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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.