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Finding the Fourth Proportional to 570.42, 787.41 and 349.38

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Solution

The fourth proportional to 570.42, 787.41 and 349.38 is: 482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 787.41 = 349.38 : x
  2. Step 2: Convert to fraction form
    570.42/787.41 = 349.38/x
  3. Step 3: Cross multiply
    570.42x = 787.41 × 349.38
  4. Step 4: Simplify right side
    570.42x = 275,105.31
  5. Step 5: Solve for x
    x = 275,105.31/570.42
  6. Step 6: Final answer
    x = 482.29

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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.