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Finding the Fourth Proportional to 954.92, 1,423.41 and 850.26

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Solution

The fourth proportional to 954.92, 1,423.41 and 850.26 is: 1,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.92 : 1,423.41 = 850.26 : x
  2. Step 2: Convert to fraction form
    954.92/1,423.41 = 850.26/x
  3. Step 3: Cross multiply
    954.92x = 1,423.41 × 850.26
  4. Step 4: Simplify right side
    954.92x = 1,210,270.74
  5. Step 5: Solve for x
    x = 1,210,270.74/954.92
  6. Step 6: Final answer
    x = 1,267.40

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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.