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Finding the Fourth Proportional to 578.34, 796.41 and 430.71

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Solution

The fourth proportional to 578.34, 796.41 and 430.71 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 796.41 = 430.71 : x
  2. Step 2: Convert to fraction form
    578.34/796.41 = 430.71/x
  3. Step 3: Cross multiply
    578.34x = 796.41 × 430.71
  4. Step 4: Simplify right side
    578.34x = 343,021.75
  5. Step 5: Solve for x
    x = 343,021.75/578.34
  6. Step 6: Final answer
    x = 593.11

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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.