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Finding the Fourth Proportional to 467.90, 698.19 and 465.20

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Solution

The fourth proportional to 467.90, 698.19 and 465.20 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.90 : 698.19 = 465.20 : x
  2. Step 2: Convert to fraction form
    467.90/698.19 = 465.20/x
  3. Step 3: Cross multiply
    467.90x = 698.19 × 465.20
  4. Step 4: Simplify right side
    467.90x = 324,797.99
  5. Step 5: Solve for x
    x = 324,797.99/467.90
  6. Step 6: Final answer
    x = 694.16

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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.