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Finding the Fourth Proportional to 980.94, 1,461.46 and 934.50

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Solution

The fourth proportional to 980.94, 1,461.46 and 934.50 is: 1,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.94 : 1,461.46 = 934.50 : x
  2. Step 2: Convert to fraction form
    980.94/1,461.46 = 934.50/x
  3. Step 3: Cross multiply
    980.94x = 1,461.46 × 934.50
  4. Step 4: Simplify right side
    980.94x = 1,365,734.37
  5. Step 5: Solve for x
    x = 1,365,734.37/980.94
  6. Step 6: Final answer
    x = 1,392.27

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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.