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Finding the Fourth Proportional to 1,443.24, 1,992.10 and 905.16

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Solution

The fourth proportional to 1,443.24, 1,992.10 and 905.16 is: 1,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.24 : 1,992.10 = 905.16 : x
  2. Step 2: Convert to fraction form
    1,443.24/1,992.10 = 905.16/x
  3. Step 3: Cross multiply
    1,443.24x = 1,992.10 × 905.16
  4. Step 4: Simplify right side
    1,443.24x = 1,803,169.24
  5. Step 5: Solve for x
    x = 1,803,169.24/1,443.24
  6. Step 6: Final answer
    x = 1,249.39

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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.