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Finding the Fourth Proportional to 579.21, 798.35 and 460.98

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Solution

The fourth proportional to 579.21, 798.35 and 460.98 is: 635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.21 : 798.35 = 460.98 : x
  2. Step 2: Convert to fraction form
    579.21/798.35 = 460.98/x
  3. Step 3: Cross multiply
    579.21x = 798.35 × 460.98
  4. Step 4: Simplify right side
    579.21x = 368,021.08
  5. Step 5: Solve for x
    x = 368,021.08/579.21
  6. Step 6: Final answer
    x = 635.38

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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.