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Finding the Fourth Proportional to 1,133.36, 1,709.47 and 998.09

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Solution

The fourth proportional to 1,133.36, 1,709.47 and 998.09 is: 1,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.36 : 1,709.47 = 998.09 : x
  2. Step 2: Convert to fraction form
    1,133.36/1,709.47 = 998.09/x
  3. Step 3: Cross multiply
    1,133.36x = 1,709.47 × 998.09
  4. Step 4: Simplify right side
    1,133.36x = 1,706,199.92
  5. Step 5: Solve for x
    x = 1,706,199.92/1,133.36
  6. Step 6: Final answer
    x = 1,505.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.