Home / 1,209.43-1,667.74-895.35

Finding the Fourth Proportional to 1,209.43, 1,667.74 and 895.35

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Solution

The fourth proportional to 1,209.43, 1,667.74 and 895.35 is: 1,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,667.74 = 895.35 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,667.74 = 895.35/x
  3. Step 3: Cross multiply
    1,209.43x = 1,667.74 × 895.35
  4. Step 4: Simplify right side
    1,209.43x = 1,493,209.08
  5. Step 5: Solve for x
    x = 1,493,209.08/1,209.43
  6. Step 6: Final answer
    x = 1,234.64

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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.