Home / 1,409.30-2,112.81-588.19

Finding the Fourth Proportional to 1,409.30, 2,112.81 and 588.19

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Solution

The fourth proportional to 1,409.30, 2,112.81 and 588.19 is: 881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.30 : 2,112.81 = 588.19 : x
  2. Step 2: Convert to fraction form
    1,409.30/2,112.81 = 588.19/x
  3. Step 3: Cross multiply
    1,409.30x = 2,112.81 × 588.19
  4. Step 4: Simplify right side
    1,409.30x = 1,242,720.21
  5. Step 5: Solve for x
    x = 1,242,720.21/1,409.30
  6. Step 6: Final answer
    x = 881.80

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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.