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Finding the Fourth Proportional to 468.28, 705.92 and 461.80

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Solution

The fourth proportional to 468.28, 705.92 and 461.80 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 705.92 = 461.80 : x
  2. Step 2: Convert to fraction form
    468.28/705.92 = 461.80/x
  3. Step 3: Cross multiply
    468.28x = 705.92 × 461.80
  4. Step 4: Simplify right side
    468.28x = 325,993.86
  5. Step 5: Solve for x
    x = 325,993.86/468.28
  6. Step 6: Final answer
    x = 696.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.