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Finding the Fourth Proportional to 958.47, 1,321.95 and 825.91

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Solution

The fourth proportional to 958.47, 1,321.95 and 825.91 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.47 : 1,321.95 = 825.91 : x
  2. Step 2: Convert to fraction form
    958.47/1,321.95 = 825.91/x
  3. Step 3: Cross multiply
    958.47x = 1,321.95 × 825.91
  4. Step 4: Simplify right side
    958.47x = 1,091,811.72
  5. Step 5: Solve for x
    x = 1,091,811.72/958.47
  6. Step 6: Final answer
    x = 1,139.12

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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.