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Finding the Fourth Proportional to 1,101.88, 1,653.14 and 980.99

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Solution

The fourth proportional to 1,101.88, 1,653.14 and 980.99 is: 1,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.88 : 1,653.14 = 980.99 : x
  2. Step 2: Convert to fraction form
    1,101.88/1,653.14 = 980.99/x
  3. Step 3: Cross multiply
    1,101.88x = 1,653.14 × 980.99
  4. Step 4: Simplify right side
    1,101.88x = 1,621,713.81
  5. Step 5: Solve for x
    x = 1,621,713.81/1,101.88
  6. Step 6: Final answer
    x = 1,471.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.