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Finding the Fourth Proportional to 944.12, 1,410.59 and 911.83

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Solution

The fourth proportional to 944.12, 1,410.59 and 911.83 is: 1,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.12 : 1,410.59 = 911.83 : x
  2. Step 2: Convert to fraction form
    944.12/1,410.59 = 911.83/x
  3. Step 3: Cross multiply
    944.12x = 1,410.59 × 911.83
  4. Step 4: Simplify right side
    944.12x = 1,286,218.28
  5. Step 5: Solve for x
    x = 1,286,218.28/944.12
  6. Step 6: Final answer
    x = 1,362.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.