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Finding the Fourth Proportional to 460.99, 687.71 and 448.44

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Solution

The fourth proportional to 460.99, 687.71 and 448.44 is: 668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 687.71 = 448.44 : x
  2. Step 2: Convert to fraction form
    460.99/687.71 = 448.44/x
  3. Step 3: Cross multiply
    460.99x = 687.71 × 448.44
  4. Step 4: Simplify right side
    460.99x = 308,396.67
  5. Step 5: Solve for x
    x = 308,396.67/460.99
  6. Step 6: Final answer
    x = 668.99

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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.