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Finding the Fourth Proportional to 578.28, 798.12 and 345.48

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Solution

The fourth proportional to 578.28, 798.12 and 345.48 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 798.12 = 345.48 : x
  2. Step 2: Convert to fraction form
    578.28/798.12 = 345.48/x
  3. Step 3: Cross multiply
    578.28x = 798.12 × 345.48
  4. Step 4: Simplify right side
    578.28x = 275,734.50
  5. Step 5: Solve for x
    x = 275,734.50/578.28
  6. Step 6: Final answer
    x = 476.82

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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.