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Finding the Fourth Proportional to 468.48, 698.91 and 445.80

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Solution

The fourth proportional to 468.48, 698.91 and 445.80 is: 665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 698.91 = 445.80 : x
  2. Step 2: Convert to fraction form
    468.48/698.91 = 445.80/x
  3. Step 3: Cross multiply
    468.48x = 698.91 × 445.80
  4. Step 4: Simplify right side
    468.48x = 311,574.08
  5. Step 5: Solve for x
    x = 311,574.08/468.48
  6. Step 6: Final answer
    x = 665.07

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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.