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Finding the Fourth Proportional to 1,194.55, 1,648.69 and 959.45

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Solution

The fourth proportional to 1,194.55, 1,648.69 and 959.45 is: 1,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.55 : 1,648.69 = 959.45 : x
  2. Step 2: Convert to fraction form
    1,194.55/1,648.69 = 959.45/x
  3. Step 3: Cross multiply
    1,194.55x = 1,648.69 × 959.45
  4. Step 4: Simplify right side
    1,194.55x = 1,581,824.98
  5. Step 5: Solve for x
    x = 1,581,824.98/1,194.55
  6. Step 6: Final answer
    x = 1,324.20

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Half scale
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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.