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Finding the Fourth Proportional to 1,094.19, 1,638.87 and 786.65

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Solution

The fourth proportional to 1,094.19, 1,638.87 and 786.65 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.19 : 1,638.87 = 786.65 : x
  2. Step 2: Convert to fraction form
    1,094.19/1,638.87 = 786.65/x
  3. Step 3: Cross multiply
    1,094.19x = 1,638.87 × 786.65
  4. Step 4: Simplify right side
    1,094.19x = 1,289,208.89
  5. Step 5: Solve for x
    x = 1,289,208.89/1,094.19
  6. Step 6: Final answer
    x = 1,178.23

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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.