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Finding the Fourth Proportional to 422.94, 630.35 and 419.58

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Solution

The fourth proportional to 422.94, 630.35 and 419.58 is: 625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 630.35 = 419.58 : x
  2. Step 2: Convert to fraction form
    422.94/630.35 = 419.58/x
  3. Step 3: Cross multiply
    422.94x = 630.35 × 419.58
  4. Step 4: Simplify right side
    422.94x = 264,480.16
  5. Step 5: Solve for x
    x = 264,480.16/422.94
  6. Step 6: Final answer
    x = 625.34

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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.