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Finding the Fourth Proportional to 570.38, 787.19 and 396.09

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Solution

The fourth proportional to 570.38, 787.19 and 396.09 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 787.19 = 396.09 : x
  2. Step 2: Convert to fraction form
    570.38/787.19 = 396.09/x
  3. Step 3: Cross multiply
    570.38x = 787.19 × 396.09
  4. Step 4: Simplify right side
    570.38x = 311,796.11
  5. Step 5: Solve for x
    x = 311,796.11/570.38
  6. Step 6: Final answer
    x = 546.65

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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.