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Finding the Fourth Proportional to 1,344.40, 1,853.21 and 895.55

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Solution

The fourth proportional to 1,344.40, 1,853.21 and 895.55 is: 1,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.40 : 1,853.21 = 895.55 : x
  2. Step 2: Convert to fraction form
    1,344.40/1,853.21 = 895.55/x
  3. Step 3: Cross multiply
    1,344.40x = 1,853.21 × 895.55
  4. Step 4: Simplify right side
    1,344.40x = 1,659,635.19
  5. Step 5: Solve for x
    x = 1,659,635.19/1,344.40
  6. Step 6: Final answer
    x = 1,234.48

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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.