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Finding the Fourth Proportional to 467.99, 702.90 and 381.39

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Solution

The fourth proportional to 467.99, 702.90 and 381.39 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 702.90 = 381.39 : x
  2. Step 2: Convert to fraction form
    467.99/702.90 = 381.39/x
  3. Step 3: Cross multiply
    467.99x = 702.90 × 381.39
  4. Step 4: Simplify right side
    467.99x = 268,079.03
  5. Step 5: Solve for x
    x = 268,079.03/467.99
  6. Step 6: Final answer
    x = 572.83

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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.