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Finding the Fourth Proportional to 1,597.90, 2,395.22 and 622.66

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Solution

The fourth proportional to 1,597.90, 2,395.22 and 622.66 is: 933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.90 : 2,395.22 = 622.66 : x
  2. Step 2: Convert to fraction form
    1,597.90/2,395.22 = 622.66/x
  3. Step 3: Cross multiply
    1,597.90x = 2,395.22 × 622.66
  4. Step 4: Simplify right side
    1,597.90x = 1,491,407.69
  5. Step 5: Solve for x
    x = 1,491,407.69/1,597.90
  6. Step 6: Final answer
    x = 933.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.