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Finding the Fourth Proportional to 622.02, 859.46 and 511.41

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Solution

The fourth proportional to 622.02, 859.46 and 511.41 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 859.46 = 511.41 : x
  2. Step 2: Convert to fraction form
    622.02/859.46 = 511.41/x
  3. Step 3: Cross multiply
    622.02x = 859.46 × 511.41
  4. Step 4: Simplify right side
    622.02x = 439,536.44
  5. Step 5: Solve for x
    x = 439,536.44/622.02
  6. Step 6: Final answer
    x = 706.63

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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.