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Finding the Fourth Proportional to 570.38, 786.80 and 348.94

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Solution

The fourth proportional to 570.38, 786.80 and 348.94 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 786.80 = 348.94 : x
  2. Step 2: Convert to fraction form
    570.38/786.80 = 348.94/x
  3. Step 3: Cross multiply
    570.38x = 786.80 × 348.94
  4. Step 4: Simplify right side
    570.38x = 274,542.28
  5. Step 5: Solve for x
    x = 274,542.28/570.38
  6. Step 6: Final answer
    x = 481.34

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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.