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Finding the Fourth Proportional to 684.46, 944.40 and 474.31

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Solution

The fourth proportional to 684.46, 944.40 and 474.31 is: 654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 944.40 = 474.31 : x
  2. Step 2: Convert to fraction form
    684.46/944.40 = 474.31/x
  3. Step 3: Cross multiply
    684.46x = 944.40 × 474.31
  4. Step 4: Simplify right side
    684.46x = 447,933.64
  5. Step 5: Solve for x
    x = 447,933.64/684.46
  6. Step 6: Final answer
    x = 654.44

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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.