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Finding the Fourth Proportional to 786.44, 1,179.10 and 369.74

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Solution

The fourth proportional to 786.44, 1,179.10 and 369.74 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.44 : 1,179.10 = 369.74 : x
  2. Step 2: Convert to fraction form
    786.44/1,179.10 = 369.74/x
  3. Step 3: Cross multiply
    786.44x = 1,179.10 × 369.74
  4. Step 4: Simplify right side
    786.44x = 435,963.84
  5. Step 5: Solve for x
    x = 435,963.84/786.44
  6. Step 6: Final answer
    x = 554.35

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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.