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Finding the Fourth Proportional to 1,133.72, 1,706.85 and 1,036.85

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Solution

The fourth proportional to 1,133.72, 1,706.85 and 1,036.85 is: 1,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.72 : 1,706.85 = 1,036.85 : x
  2. Step 2: Convert to fraction form
    1,133.72/1,706.85 = 1,036.85/x
  3. Step 3: Cross multiply
    1,133.72x = 1,706.85 × 1,036.85
  4. Step 4: Simplify right side
    1,133.72x = 1,769,738.89
  5. Step 5: Solve for x
    x = 1,769,738.89/1,133.72
  6. Step 6: Final answer
    x = 1,561.01

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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.