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Finding the Fourth Proportional to 940.02, 1,416.36 and 779.06

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Solution

The fourth proportional to 940.02, 1,416.36 and 779.06 is: 1,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,416.36 = 779.06 : x
  2. Step 2: Convert to fraction form
    940.02/1,416.36 = 779.06/x
  3. Step 3: Cross multiply
    940.02x = 1,416.36 × 779.06
  4. Step 4: Simplify right side
    940.02x = 1,103,435.88
  5. Step 5: Solve for x
    x = 1,103,435.88/940.02
  6. Step 6: Final answer
    x = 1,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.