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Finding the Fourth Proportional to 955.92, 1,431.74 and 830.92

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Solution

The fourth proportional to 955.92, 1,431.74 and 830.92 is: 1,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.92 : 1,431.74 = 830.92 : x
  2. Step 2: Convert to fraction form
    955.92/1,431.74 = 830.92/x
  3. Step 3: Cross multiply
    955.92x = 1,431.74 × 830.92
  4. Step 4: Simplify right side
    955.92x = 1,189,661.40
  5. Step 5: Solve for x
    x = 1,189,661.40/955.92
  6. Step 6: Final answer
    x = 1,244.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.