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Finding the Fourth Proportional to 786.66, 1,178.20 and 376.09

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Solution

The fourth proportional to 786.66, 1,178.20 and 376.09 is: 563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.66 : 1,178.20 = 376.09 : x
  2. Step 2: Convert to fraction form
    786.66/1,178.20 = 376.09/x
  3. Step 3: Cross multiply
    786.66x = 1,178.20 × 376.09
  4. Step 4: Simplify right side
    786.66x = 443,109.24
  5. Step 5: Solve for x
    x = 443,109.24/786.66
  6. Step 6: Final answer
    x = 563.28

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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.