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Finding the Fourth Proportional to 957, 1,321.17 and 661.80

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Solution

The fourth proportional to 957, 1,321.17 and 661.80 is: 913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    957 : 1,321.17 = 661.80 : x
  2. Step 2: Convert to fraction form
    957/1,321.17 = 661.80/x
  3. Step 3: Cross multiply
    957x = 1,321.17 × 661.80
  4. Step 4: Simplify right side
    957x = 874,350.31
  5. Step 5: Solve for x
    x = 874,350.31/957
  6. Step 6: Final answer
    x = 913.64

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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.