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Finding the Fourth Proportional to 460.44, 687.29 and 428.45

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Solution

The fourth proportional to 460.44, 687.29 and 428.45 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 687.29 = 428.45 : x
  2. Step 2: Convert to fraction form
    460.44/687.29 = 428.45/x
  3. Step 3: Cross multiply
    460.44x = 687.29 × 428.45
  4. Step 4: Simplify right side
    460.44x = 294,463.82
  5. Step 5: Solve for x
    x = 294,463.82/460.44
  6. Step 6: Final answer
    x = 639.53

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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.