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Finding the Fourth Proportional to 570.04, 787.26 and 422.44

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Solution

The fourth proportional to 570.04, 787.26 and 422.44 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 787.26 = 422.44 : x
  2. Step 2: Convert to fraction form
    570.04/787.26 = 422.44/x
  3. Step 3: Cross multiply
    570.04x = 787.26 × 422.44
  4. Step 4: Simplify right side
    570.04x = 332,570.11
  5. Step 5: Solve for x
    x = 332,570.11/570.04
  6. Step 6: Final answer
    x = 583.42

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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.