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Finding the Fourth Proportional to 467.62, 643.78 and 444.53

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Solution

The fourth proportional to 467.62, 643.78 and 444.53 is: 611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 643.78 = 444.53 : x
  2. Step 2: Convert to fraction form
    467.62/643.78 = 444.53/x
  3. Step 3: Cross multiply
    467.62x = 643.78 × 444.53
  4. Step 4: Simplify right side
    467.62x = 286,179.52
  5. Step 5: Solve for x
    x = 286,179.52/467.62
  6. Step 6: Final answer
    x = 611.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.