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Finding the Fourth Proportional to 578.47, 798.01 and 379.21

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Solution

The fourth proportional to 578.47, 798.01 and 379.21 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.47 : 798.01 = 379.21 : x
  2. Step 2: Convert to fraction form
    578.47/798.01 = 379.21/x
  3. Step 3: Cross multiply
    578.47x = 798.01 × 379.21
  4. Step 4: Simplify right side
    578.47x = 302,615.00
  5. Step 5: Solve for x
    x = 302,615.00/578.47
  6. Step 6: Final answer
    x = 523.13

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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.