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Finding the Fourth Proportional to 1,661.05, 2,291.83 and 1,070.88

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Solution

The fourth proportional to 1,661.05, 2,291.83 and 1,070.88 is: 1,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.05 : 2,291.83 = 1,070.88 : x
  2. Step 2: Convert to fraction form
    1,661.05/2,291.83 = 1,070.88/x
  3. Step 3: Cross multiply
    1,661.05x = 2,291.83 × 1,070.88
  4. Step 4: Simplify right side
    1,661.05x = 2,454,274.91
  5. Step 5: Solve for x
    x = 2,454,274.91/1,661.05
  6. Step 6: Final answer
    x = 1,477.54

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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.