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Finding the Fourth Proportional to 684.72, 944.46 and 488.34

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Solution

The fourth proportional to 684.72, 944.46 and 488.34 is: 673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 944.46 = 488.34 : x
  2. Step 2: Convert to fraction form
    684.72/944.46 = 488.34/x
  3. Step 3: Cross multiply
    684.72x = 944.46 × 488.34
  4. Step 4: Simplify right side
    684.72x = 461,217.60
  5. Step 5: Solve for x
    x = 461,217.60/684.72
  6. Step 6: Final answer
    x = 673.59

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1.5x scale

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.