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Finding the Fourth Proportional to 570.69, 855.68 and 378.09

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Solution

The fourth proportional to 570.69, 855.68 and 378.09 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 855.68 = 378.09 : x
  2. Step 2: Convert to fraction form
    570.69/855.68 = 378.09/x
  3. Step 3: Cross multiply
    570.69x = 855.68 × 378.09
  4. Step 4: Simplify right side
    570.69x = 323,522.16
  5. Step 5: Solve for x
    x = 323,522.16/570.69
  6. Step 6: Final answer
    x = 566.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.