Home / 1,604.58-2,214.37-896.40

Finding the Fourth Proportional to 1,604.58, 2,214.37 and 896.40

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Solution

The fourth proportional to 1,604.58, 2,214.37 and 896.40 is: 1,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.58 : 2,214.37 = 896.40 : x
  2. Step 2: Convert to fraction form
    1,604.58/2,214.37 = 896.40/x
  3. Step 3: Cross multiply
    1,604.58x = 2,214.37 × 896.40
  4. Step 4: Simplify right side
    1,604.58x = 1,984,961.27
  5. Step 5: Solve for x
    x = 1,984,961.27/1,604.58
  6. Step 6: Final answer
    x = 1,237.06

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1.5x scale

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.