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Finding the Fourth Proportional to 466.09, 695.07 and 408.58

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Solution

The fourth proportional to 466.09, 695.07 and 408.58 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 695.07 = 408.58 : x
  2. Step 2: Convert to fraction form
    466.09/695.07 = 408.58/x
  3. Step 3: Cross multiply
    466.09x = 695.07 × 408.58
  4. Step 4: Simplify right side
    466.09x = 283,991.70
  5. Step 5: Solve for x
    x = 283,991.70/466.09
  6. Step 6: Final answer
    x = 609.31

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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.