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Finding the Fourth Proportional to 619.02, 854.19 and 422.70

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Solution

The fourth proportional to 619.02, 854.19 and 422.70 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 854.19 = 422.70 : x
  2. Step 2: Convert to fraction form
    619.02/854.19 = 422.70/x
  3. Step 3: Cross multiply
    619.02x = 854.19 × 422.70
  4. Step 4: Simplify right side
    619.02x = 361,066.11
  5. Step 5: Solve for x
    x = 361,066.11/619.02
  6. Step 6: Final answer
    x = 583.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.