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Finding the Fourth Proportional to 975.25, 1,344.03 and 957.48

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Solution

The fourth proportional to 975.25, 1,344.03 and 957.48 is: 1,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.25 : 1,344.03 = 957.48 : x
  2. Step 2: Convert to fraction form
    975.25/1,344.03 = 957.48/x
  3. Step 3: Cross multiply
    975.25x = 1,344.03 × 957.48
  4. Step 4: Simplify right side
    975.25x = 1,286,881.84
  5. Step 5: Solve for x
    x = 1,286,881.84/975.25
  6. Step 6: Final answer
    x = 1,319.54

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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.