Home / 1,020.49-1,408.75-835.96

Finding the Fourth Proportional to 1,020.49, 1,408.75 and 835.96

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Solution

The fourth proportional to 1,020.49, 1,408.75 and 835.96 is: 1,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.49 : 1,408.75 = 835.96 : x
  2. Step 2: Convert to fraction form
    1,020.49/1,408.75 = 835.96/x
  3. Step 3: Cross multiply
    1,020.49x = 1,408.75 × 835.96
  4. Step 4: Simplify right side
    1,020.49x = 1,177,658.65
  5. Step 5: Solve for x
    x = 1,177,658.65/1,020.49
  6. Step 6: Final answer
    x = 1,154.01

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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.