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Finding the Fourth Proportional to 684.52, 944.22 and 418.84

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Solution

The fourth proportional to 684.52, 944.22 and 418.84 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 944.22 = 418.84 : x
  2. Step 2: Convert to fraction form
    684.52/944.22 = 418.84/x
  3. Step 3: Cross multiply
    684.52x = 944.22 × 418.84
  4. Step 4: Simplify right side
    684.52x = 395,477.10
  5. Step 5: Solve for x
    x = 395,477.10/684.52
  6. Step 6: Final answer
    x = 577.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.