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Finding the Fourth Proportional to 622.42, 852.70 and 599.02

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Solution

The fourth proportional to 622.42, 852.70 and 599.02 is: 820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 852.70 = 599.02 : x
  2. Step 2: Convert to fraction form
    622.42/852.70 = 599.02/x
  3. Step 3: Cross multiply
    622.42x = 852.70 × 599.02
  4. Step 4: Simplify right side
    622.42x = 510,784.35
  5. Step 5: Solve for x
    x = 510,784.35/622.42
  6. Step 6: Final answer
    x = 820.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.