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Finding the Fourth Proportional to 578.01, 797.54 and 345

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Solution

The fourth proportional to 578.01, 797.54 and 345 is: 476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 797.54 = 345 : x
  2. Step 2: Convert to fraction form
    578.01/797.54 = 345/x
  3. Step 3: Cross multiply
    578.01x = 797.54 × 345
  4. Step 4: Simplify right side
    578.01x = 275,149.58
  5. Step 5: Solve for x
    x = 275,149.58/578.01
  6. Step 6: Final answer
    x = 476.03

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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.