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Finding the Fourth Proportional to 465.36, 694.86 and 377.70

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Solution

The fourth proportional to 465.36, 694.86 and 377.70 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 694.86 = 377.70 : x
  2. Step 2: Convert to fraction form
    465.36/694.86 = 377.70/x
  3. Step 3: Cross multiply
    465.36x = 694.86 × 377.70
  4. Step 4: Simplify right side
    465.36x = 262,448.62
  5. Step 5: Solve for x
    x = 262,448.62/465.36
  6. Step 6: Final answer
    x = 563.97

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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.