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Finding the Fourth Proportional to 1,597.97, 2,205.22 and 899.35

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Solution

The fourth proportional to 1,597.97, 2,205.22 and 899.35 is: 1,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.97 : 2,205.22 = 899.35 : x
  2. Step 2: Convert to fraction form
    1,597.97/2,205.22 = 899.35/x
  3. Step 3: Cross multiply
    1,597.97x = 2,205.22 × 899.35
  4. Step 4: Simplify right side
    1,597.97x = 1,983,256.85
  5. Step 5: Solve for x
    x = 1,983,256.85/1,597.97
  6. Step 6: Final answer
    x = 1,241.11

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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.