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Finding the Fourth Proportional to 464.80, 695.81 and 444.75

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Solution

The fourth proportional to 464.80, 695.81 and 444.75 is: 665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.80 : 695.81 = 444.75 : x
  2. Step 2: Convert to fraction form
    464.80/695.81 = 444.75/x
  3. Step 3: Cross multiply
    464.80x = 695.81 × 444.75
  4. Step 4: Simplify right side
    464.80x = 309,462.61
  5. Step 5: Solve for x
    x = 309,462.61/464.80
  6. Step 6: Final answer
    x = 665.80

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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.