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Finding the Fourth Proportional to 465.09, 694.18 and 410.42

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Solution

The fourth proportional to 465.09, 694.18 and 410.42 is: 612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 694.18 = 410.42 : x
  2. Step 2: Convert to fraction form
    465.09/694.18 = 410.42/x
  3. Step 3: Cross multiply
    465.09x = 694.18 × 410.42
  4. Step 4: Simplify right side
    465.09x = 284,905.36
  5. Step 5: Solve for x
    x = 284,905.36/465.09
  6. Step 6: Final answer
    x = 612.58

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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.