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Finding the Fourth Proportional to 582.62, 873.53 and 217.21

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Solution

The fourth proportional to 582.62, 873.53 and 217.21 is: 325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.62 : 873.53 = 217.21 : x
  2. Step 2: Convert to fraction form
    582.62/873.53 = 217.21/x
  3. Step 3: Cross multiply
    582.62x = 873.53 × 217.21
  4. Step 4: Simplify right side
    582.62x = 189,739.45
  5. Step 5: Solve for x
    x = 189,739.45/582.62
  6. Step 6: Final answer
    x = 325.67

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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.