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Finding the Fourth Proportional to 1,022.19, 1,408.98 and 756.22

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Solution

The fourth proportional to 1,022.19, 1,408.98 and 756.22 is: 1,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.19 : 1,408.98 = 756.22 : x
  2. Step 2: Convert to fraction form
    1,022.19/1,408.98 = 756.22/x
  3. Step 3: Cross multiply
    1,022.19x = 1,408.98 × 756.22
  4. Step 4: Simplify right side
    1,022.19x = 1,065,505.69
  5. Step 5: Solve for x
    x = 1,065,505.69/1,022.19
  6. Step 6: Final answer
    x = 1,042.37

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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.