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Finding the Fourth Proportional to 1,002, 1,385.64 and 956.16

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Solution

The fourth proportional to 1,002, 1,385.64 and 956.16 is: 1,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002 : 1,385.64 = 956.16 : x
  2. Step 2: Convert to fraction form
    1,002/1,385.64 = 956.16/x
  3. Step 3: Cross multiply
    1,002x = 1,385.64 × 956.16
  4. Step 4: Simplify right side
    1,002x = 1,324,893.54
  5. Step 5: Solve for x
    x = 1,324,893.54/1,002
  6. Step 6: Final answer
    x = 1,322.25

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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.