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Finding the Fourth Proportional to 983.46, 1,356.09 and 960.78

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Solution

The fourth proportional to 983.46, 1,356.09 and 960.78 is: 1,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.46 : 1,356.09 = 960.78 : x
  2. Step 2: Convert to fraction form
    983.46/1,356.09 = 960.78/x
  3. Step 3: Cross multiply
    983.46x = 1,356.09 × 960.78
  4. Step 4: Simplify right side
    983.46x = 1,302,904.15
  5. Step 5: Solve for x
    x = 1,302,904.15/983.46
  6. Step 6: Final answer
    x = 1,324.82

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1.5x scale

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.