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Finding the Fourth Proportional to 1,050.99, 1,450.49 and 679.05

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Solution

The fourth proportional to 1,050.99, 1,450.49 and 679.05 is: 937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.99 : 1,450.49 = 679.05 : x
  2. Step 2: Convert to fraction form
    1,050.99/1,450.49 = 679.05/x
  3. Step 3: Cross multiply
    1,050.99x = 1,450.49 × 679.05
  4. Step 4: Simplify right side
    1,050.99x = 984,955.23
  5. Step 5: Solve for x
    x = 984,955.23/1,050.99
  6. Step 6: Final answer
    x = 937.17

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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.