Home / 1,406.35-2,109.28-432.19

Finding the Fourth Proportional to 1,406.35, 2,109.28 and 432.19

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Solution

The fourth proportional to 1,406.35, 2,109.28 and 432.19 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.35 : 2,109.28 = 432.19 : x
  2. Step 2: Convert to fraction form
    1,406.35/2,109.28 = 432.19/x
  3. Step 3: Cross multiply
    1,406.35x = 2,109.28 × 432.19
  4. Step 4: Simplify right side
    1,406.35x = 911,609.72
  5. Step 5: Solve for x
    x = 911,609.72/1,406.35
  6. Step 6: Final answer
    x = 648.21

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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.