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Finding the Fourth Proportional to 954.37, 1,311.97 and 821.10

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Solution

The fourth proportional to 954.37, 1,311.97 and 821.10 is: 1,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.37 : 1,311.97 = 821.10 : x
  2. Step 2: Convert to fraction form
    954.37/1,311.97 = 821.10/x
  3. Step 3: Cross multiply
    954.37x = 1,311.97 × 821.10
  4. Step 4: Simplify right side
    954.37x = 1,077,258.57
  5. Step 5: Solve for x
    x = 1,077,258.57/954.37
  6. Step 6: Final answer
    x = 1,128.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.