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Finding the Fourth Proportional to 465.72, 697.74 and 303

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Solution

The fourth proportional to 465.72, 697.74 and 303 is: 453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 697.74 = 303 : x
  2. Step 2: Convert to fraction form
    465.72/697.74 = 303/x
  3. Step 3: Cross multiply
    465.72x = 697.74 × 303
  4. Step 4: Simplify right side
    465.72x = 211,415.22
  5. Step 5: Solve for x
    x = 211,415.22/465.72
  6. Step 6: Final answer
    x = 453.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.