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Finding the Fourth Proportional to 954.12, 1,423.05 and 822.54

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Solution

The fourth proportional to 954.12, 1,423.05 and 822.54 is: 1,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.12 : 1,423.05 = 822.54 : x
  2. Step 2: Convert to fraction form
    954.12/1,423.05 = 822.54/x
  3. Step 3: Cross multiply
    954.12x = 1,423.05 × 822.54
  4. Step 4: Simplify right side
    954.12x = 1,170,515.55
  5. Step 5: Solve for x
    x = 1,170,515.55/954.12
  6. Step 6: Final answer
    x = 1,226.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.