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Finding the Fourth Proportional to 1,408.36, 1,943.28 and 885.10

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Solution

The fourth proportional to 1,408.36, 1,943.28 and 885.10 is: 1,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.36 : 1,943.28 = 885.10 : x
  2. Step 2: Convert to fraction form
    1,408.36/1,943.28 = 885.10/x
  3. Step 3: Cross multiply
    1,408.36x = 1,943.28 × 885.10
  4. Step 4: Simplify right side
    1,408.36x = 1,719,997.13
  5. Step 5: Solve for x
    x = 1,719,997.13/1,408.36
  6. Step 6: Final answer
    x = 1,221.28

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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.