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Finding the Fourth Proportional to 980.84, 1,355.04 and 973.54

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Solution

The fourth proportional to 980.84, 1,355.04 and 973.54 is: 1,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.84 : 1,355.04 = 973.54 : x
  2. Step 2: Convert to fraction form
    980.84/1,355.04 = 973.54/x
  3. Step 3: Cross multiply
    980.84x = 1,355.04 × 973.54
  4. Step 4: Simplify right side
    980.84x = 1,319,185.64
  5. Step 5: Solve for x
    x = 1,319,185.64/980.84
  6. Step 6: Final answer
    x = 1,344.95

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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.