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Finding the Fourth Proportional to 1,106.06, 1,659.09 and 284.33

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Solution

The fourth proportional to 1,106.06, 1,659.09 and 284.33 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.06 : 1,659.09 = 284.33 : x
  2. Step 2: Convert to fraction form
    1,106.06/1,659.09 = 284.33/x
  3. Step 3: Cross multiply
    1,106.06x = 1,659.09 × 284.33
  4. Step 4: Simplify right side
    1,106.06x = 471,733.21
  5. Step 5: Solve for x
    x = 471,733.21/1,106.06
  6. Step 6: Final answer
    x = 426.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.