Home / 1,406.16-2,109.13-432.25

Finding the Fourth Proportional to 1,406.16, 2,109.13 and 432.25

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Solution

The fourth proportional to 1,406.16, 2,109.13 and 432.25 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.16 : 2,109.13 = 432.25 : x
  2. Step 2: Convert to fraction form
    1,406.16/2,109.13 = 432.25/x
  3. Step 3: Cross multiply
    1,406.16x = 2,109.13 × 432.25
  4. Step 4: Simplify right side
    1,406.16x = 911,671.44
  5. Step 5: Solve for x
    x = 911,671.44/1,406.16
  6. Step 6: Final answer
    x = 648.34

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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.