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Finding the Fourth Proportional to 579.70, 799.63 and 455.16

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Solution

The fourth proportional to 579.70, 799.63 and 455.16 is: 627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 799.63 = 455.16 : x
  2. Step 2: Convert to fraction form
    579.70/799.63 = 455.16/x
  3. Step 3: Cross multiply
    579.70x = 799.63 × 455.16
  4. Step 4: Simplify right side
    579.70x = 363,959.59
  5. Step 5: Solve for x
    x = 363,959.59/579.70
  6. Step 6: Final answer
    x = 627.84

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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.