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Finding the Fourth Proportional to 578.70, 798.49 and 345.78

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Solution

The fourth proportional to 578.70, 798.49 and 345.78 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 798.49 = 345.78 : x
  2. Step 2: Convert to fraction form
    578.70/798.49 = 345.78/x
  3. Step 3: Cross multiply
    578.70x = 798.49 × 345.78
  4. Step 4: Simplify right side
    578.70x = 276,101.87
  5. Step 5: Solve for x
    x = 276,101.87/578.70
  6. Step 6: Final answer
    x = 477.11

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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.