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Finding the Fourth Proportional to 464.36, 695.28 and 450.50

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Solution

The fourth proportional to 464.36, 695.28 and 450.50 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.36 : 695.28 = 450.50 : x
  2. Step 2: Convert to fraction form
    464.36/695.28 = 450.50/x
  3. Step 3: Cross multiply
    464.36x = 695.28 × 450.50
  4. Step 4: Simplify right side
    464.36x = 313,223.64
  5. Step 5: Solve for x
    x = 313,223.64/464.36
  6. Step 6: Final answer
    x = 674.53

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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.