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Finding the Fourth Proportional to 1,406.80, 2,109.92 and 482.28

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Solution

The fourth proportional to 1,406.80, 2,109.92 and 482.28 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.80 : 2,109.92 = 482.28 : x
  2. Step 2: Convert to fraction form
    1,406.80/2,109.92 = 482.28/x
  3. Step 3: Cross multiply
    1,406.80x = 2,109.92 × 482.28
  4. Step 4: Simplify right side
    1,406.80x = 1,017,572.22
  5. Step 5: Solve for x
    x = 1,017,572.22/1,406.80
  6. Step 6: Final answer
    x = 723.32

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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.