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Finding the Fourth Proportional to 578.88, 798.60 and 330.17

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Solution

The fourth proportional to 578.88, 798.60 and 330.17 is: 455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 798.60 = 330.17 : x
  2. Step 2: Convert to fraction form
    578.88/798.60 = 330.17/x
  3. Step 3: Cross multiply
    578.88x = 798.60 × 330.17
  4. Step 4: Simplify right side
    578.88x = 263,669.77
  5. Step 5: Solve for x
    x = 263,669.77/578.88
  6. Step 6: Final answer
    x = 455.48

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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.