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Finding the Fourth Proportional to 1,103.99, 1,524.22 and 684.79

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Solution

The fourth proportional to 1,103.99, 1,524.22 and 684.79 is: 945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.99 : 1,524.22 = 684.79 : x
  2. Step 2: Convert to fraction form
    1,103.99/1,524.22 = 684.79/x
  3. Step 3: Cross multiply
    1,103.99x = 1,524.22 × 684.79
  4. Step 4: Simplify right side
    1,103.99x = 1,043,766.80
  5. Step 5: Solve for x
    x = 1,043,766.80/1,103.99
  6. Step 6: Final answer
    x = 945.45

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Half scale
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Double 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.