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Finding the Fourth Proportional to 466.57, 696.73 and 439.57

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Solution

The fourth proportional to 466.57, 696.73 and 439.57 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 696.73 = 439.57 : x
  2. Step 2: Convert to fraction form
    466.57/696.73 = 439.57/x
  3. Step 3: Cross multiply
    466.57x = 696.73 × 439.57
  4. Step 4: Simplify right side
    466.57x = 306,258.12
  5. Step 5: Solve for x
    x = 306,258.12/466.57
  6. Step 6: Final answer
    x = 656.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.