Home / 1,021.29-1,409.14-595.85

Finding the Fourth Proportional to 1,021.29, 1,409.14 and 595.85

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Solution

The fourth proportional to 1,021.29, 1,409.14 and 595.85 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.29 : 1,409.14 = 595.85 : x
  2. Step 2: Convert to fraction form
    1,021.29/1,409.14 = 595.85/x
  3. Step 3: Cross multiply
    1,021.29x = 1,409.14 × 595.85
  4. Step 4: Simplify right side
    1,021.29x = 839,626.04
  5. Step 5: Solve for x
    x = 839,626.04/1,021.29
  6. Step 6: Final answer
    x = 822.13

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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.