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Finding the Fourth Proportional to 948.89, 1,423.58 and 845.48

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Solution

The fourth proportional to 948.89, 1,423.58 and 845.48 is: 1,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.89 : 1,423.58 = 845.48 : x
  2. Step 2: Convert to fraction form
    948.89/1,423.58 = 845.48/x
  3. Step 3: Cross multiply
    948.89x = 1,423.58 × 845.48
  4. Step 4: Simplify right side
    948.89x = 1,203,608.42
  5. Step 5: Solve for x
    x = 1,203,608.42/948.89
  6. Step 6: Final answer
    x = 1,268.44

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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.