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Finding the Fourth Proportional to 974.07, 1,340.80 and 849.50

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Solution

The fourth proportional to 974.07, 1,340.80 and 849.50 is: 1,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,340.80 = 849.50 : x
  2. Step 2: Convert to fraction form
    974.07/1,340.80 = 849.50/x
  3. Step 3: Cross multiply
    974.07x = 1,340.80 × 849.50
  4. Step 4: Simplify right side
    974.07x = 1,139,009.60
  5. Step 5: Solve for x
    x = 1,139,009.60/974.07
  6. Step 6: Final answer
    x = 1,169.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.