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Finding the Fourth Proportional to 578.26, 798.15 and 381.70

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Solution

The fourth proportional to 578.26, 798.15 and 381.70 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 798.15 = 381.70 : x
  2. Step 2: Convert to fraction form
    578.26/798.15 = 381.70/x
  3. Step 3: Cross multiply
    578.26x = 798.15 × 381.70
  4. Step 4: Simplify right side
    578.26x = 304,653.86
  5. Step 5: Solve for x
    x = 304,653.86/578.26
  6. Step 6: Final answer
    x = 526.85

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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.