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Finding the Fourth Proportional to 466.20, 695.19 and 440.28

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Solution

The fourth proportional to 466.20, 695.19 and 440.28 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 695.19 = 440.28 : x
  2. Step 2: Convert to fraction form
    466.20/695.19 = 440.28/x
  3. Step 3: Cross multiply
    466.20x = 695.19 × 440.28
  4. Step 4: Simplify right side
    466.20x = 306,078.25
  5. Step 5: Solve for x
    x = 306,078.25/466.20
  6. Step 6: Final answer
    x = 656.54

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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.