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Finding the Fourth Proportional to 1,190.70, 1,786.66 and 643.04

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Solution

The fourth proportional to 1,190.70, 1,786.66 and 643.04 is: 964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.70 : 1,786.66 = 643.04 : x
  2. Step 2: Convert to fraction form
    1,190.70/1,786.66 = 643.04/x
  3. Step 3: Cross multiply
    1,190.70x = 1,786.66 × 643.04
  4. Step 4: Simplify right side
    1,190.70x = 1,148,890.01
  5. Step 5: Solve for x
    x = 1,148,890.01/1,190.70
  6. Step 6: Final answer
    x = 964.89

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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.