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Finding the Fourth Proportional to 578.70, 797.22 and 460.64

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Solution

The fourth proportional to 578.70, 797.22 and 460.64 is: 634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 797.22 = 460.64 : x
  2. Step 2: Convert to fraction form
    578.70/797.22 = 460.64/x
  3. Step 3: Cross multiply
    578.70x = 797.22 × 460.64
  4. Step 4: Simplify right side
    578.70x = 367,231.42
  5. Step 5: Solve for x
    x = 367,231.42/578.70
  6. Step 6: Final answer
    x = 634.58

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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.