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Finding the Fourth Proportional to 465.60, 694.32 and 408.08

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Solution

The fourth proportional to 465.60, 694.32 and 408.08 is: 608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 694.32 = 408.08 : x
  2. Step 2: Convert to fraction form
    465.60/694.32 = 408.08/x
  3. Step 3: Cross multiply
    465.60x = 694.32 × 408.08
  4. Step 4: Simplify right side
    465.60x = 283,338.11
  5. Step 5: Solve for x
    x = 283,338.11/465.60
  6. Step 6: Final answer
    x = 608.54

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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.