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Finding the Fourth Proportional to 460.62, 687.62 and 391.41

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Solution

The fourth proportional to 460.62, 687.62 and 391.41 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 687.62 = 391.41 : x
  2. Step 2: Convert to fraction form
    460.62/687.62 = 391.41/x
  3. Step 3: Cross multiply
    460.62x = 687.62 × 391.41
  4. Step 4: Simplify right side
    460.62x = 269,142.32
  5. Step 5: Solve for x
    x = 269,142.32/460.62
  6. Step 6: Final answer
    x = 584.30

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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.