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Finding the Fourth Proportional to 465.04, 698.10 and 418.60

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Solution

The fourth proportional to 465.04, 698.10 and 418.60 is: 628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.04 : 698.10 = 418.60 : x
  2. Step 2: Convert to fraction form
    465.04/698.10 = 418.60/x
  3. Step 3: Cross multiply
    465.04x = 698.10 × 418.60
  4. Step 4: Simplify right side
    465.04x = 292,224.66
  5. Step 5: Solve for x
    x = 292,224.66/465.04
  6. Step 6: Final answer
    x = 628.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.