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Finding the Fourth Proportional to 460.69, 687.64 and 422.22

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Solution

The fourth proportional to 460.69, 687.64 and 422.22 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 687.64 = 422.22 : x
  2. Step 2: Convert to fraction form
    460.69/687.64 = 422.22/x
  3. Step 3: Cross multiply
    460.69x = 687.64 × 422.22
  4. Step 4: Simplify right side
    460.69x = 290,332.98
  5. Step 5: Solve for x
    x = 290,332.98/460.69
  6. Step 6: Final answer
    x = 630.21

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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.