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Finding the Fourth Proportional to 465.57, 703.44 and 461.12

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Solution

The fourth proportional to 465.57, 703.44 and 461.12 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 703.44 = 461.12 : x
  2. Step 2: Convert to fraction form
    465.57/703.44 = 461.12/x
  3. Step 3: Cross multiply
    465.57x = 703.44 × 461.12
  4. Step 4: Simplify right side
    465.57x = 324,366.74
  5. Step 5: Solve for x
    x = 324,366.74/465.57
  6. Step 6: Final answer
    x = 696.71

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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.