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Finding the Fourth Proportional to 582.09, 873.06 and 216.78

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Solution

The fourth proportional to 582.09, 873.06 and 216.78 is: 325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.09 : 873.06 = 216.78 : x
  2. Step 2: Convert to fraction form
    582.09/873.06 = 216.78/x
  3. Step 3: Cross multiply
    582.09x = 873.06 × 216.78
  4. Step 4: Simplify right side
    582.09x = 189,261.95
  5. Step 5: Solve for x
    x = 189,261.95/582.09
  6. Step 6: Final answer
    x = 325.14

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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.