Home / 1,406.16-2,109.20-432.24

Finding the Fourth Proportional to 1,406.16, 2,109.20 and 432.24

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Solution

The fourth proportional to 1,406.16, 2,109.20 and 432.24 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.16 : 2,109.20 = 432.24 : x
  2. Step 2: Convert to fraction form
    1,406.16/2,109.20 = 432.24/x
  3. Step 3: Cross multiply
    1,406.16x = 2,109.20 × 432.24
  4. Step 4: Simplify right side
    1,406.16x = 911,680.61
  5. Step 5: Solve for x
    x = 911,680.61/1,406.16
  6. Step 6: Final answer
    x = 648.35

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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.