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Finding the Fourth Proportional to 982.04, 1,351.02 and 954.70

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Solution

The fourth proportional to 982.04, 1,351.02 and 954.70 is: 1,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,351.02 = 954.70 : x
  2. Step 2: Convert to fraction form
    982.04/1,351.02 = 954.70/x
  3. Step 3: Cross multiply
    982.04x = 1,351.02 × 954.70
  4. Step 4: Simplify right side
    982.04x = 1,289,818.79
  5. Step 5: Solve for x
    x = 1,289,818.79/982.04
  6. Step 6: Final answer
    x = 1,313.41

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1.5x scale

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.