Home / 1,680.09-2,521.35-706.20

Finding the Fourth Proportional to 1,680.09, 2,521.35 and 706.20

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Solution

The fourth proportional to 1,680.09, 2,521.35 and 706.20 is: 1,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.09 : 2,521.35 = 706.20 : x
  2. Step 2: Convert to fraction form
    1,680.09/2,521.35 = 706.20/x
  3. Step 3: Cross multiply
    1,680.09x = 2,521.35 × 706.20
  4. Step 4: Simplify right side
    1,680.09x = 1,780,577.37
  5. Step 5: Solve for x
    x = 1,780,577.37/1,680.09
  6. Step 6: Final answer
    x = 1,059.81

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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.