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Finding the Fourth Proportional to 578.50, 797.36 and 438.57

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Solution

The fourth proportional to 578.50, 797.36 and 438.57 is: 604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 797.36 = 438.57 : x
  2. Step 2: Convert to fraction form
    578.50/797.36 = 438.57/x
  3. Step 3: Cross multiply
    578.50x = 797.36 × 438.57
  4. Step 4: Simplify right side
    578.50x = 349,699.07
  5. Step 5: Solve for x
    x = 349,699.07/578.50
  6. Step 6: Final answer
    x = 604.49

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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.