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Finding the Fourth Proportional to 964.97, 1,330.34 and 741.25

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Solution

The fourth proportional to 964.97, 1,330.34 and 741.25 is: 1,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.97 : 1,330.34 = 741.25 : x
  2. Step 2: Convert to fraction form
    964.97/1,330.34 = 741.25/x
  3. Step 3: Cross multiply
    964.97x = 1,330.34 × 741.25
  4. Step 4: Simplify right side
    964.97x = 986,114.53
  5. Step 5: Solve for x
    x = 986,114.53/964.97
  6. Step 6: Final answer
    x = 1,021.91

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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.