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Finding the Fourth Proportional to 940.66, 1,297.32 and 719.20

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Solution

The fourth proportional to 940.66, 1,297.32 and 719.20 is: 991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.66 : 1,297.32 = 719.20 : x
  2. Step 2: Convert to fraction form
    940.66/1,297.32 = 719.20/x
  3. Step 3: Cross multiply
    940.66x = 1,297.32 × 719.20
  4. Step 4: Simplify right side
    940.66x = 933,032.54
  5. Step 5: Solve for x
    x = 933,032.54/940.66
  6. Step 6: Final answer
    x = 991.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.