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Finding the Fourth Proportional to 578.67, 799.61 and 455.28

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Solution

The fourth proportional to 578.67, 799.61 and 455.28 is: 629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 799.61 = 455.28 : x
  2. Step 2: Convert to fraction form
    578.67/799.61 = 455.28/x
  3. Step 3: Cross multiply
    578.67x = 799.61 × 455.28
  4. Step 4: Simplify right side
    578.67x = 364,044.16
  5. Step 5: Solve for x
    x = 364,044.16/578.67
  6. Step 6: Final answer
    x = 629.10

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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.