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Finding the Fourth Proportional to 1,191.07, 1,786.02 and 440.26

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Solution

The fourth proportional to 1,191.07, 1,786.02 and 440.26 is: 660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.07 : 1,786.02 = 440.26 : x
  2. Step 2: Convert to fraction form
    1,191.07/1,786.02 = 440.26/x
  3. Step 3: Cross multiply
    1,191.07x = 1,786.02 × 440.26
  4. Step 4: Simplify right side
    1,191.07x = 786,307.05
  5. Step 5: Solve for x
    x = 786,307.05/1,191.07
  6. Step 6: Final answer
    x = 660.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.