Home / 1,528.09-2,290.53-706.90

Finding the Fourth Proportional to 1,528.09, 2,290.53 and 706.90

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Solution

The fourth proportional to 1,528.09, 2,290.53 and 706.90 is: 1,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.09 : 2,290.53 = 706.90 : x
  2. Step 2: Convert to fraction form
    1,528.09/2,290.53 = 706.90/x
  3. Step 3: Cross multiply
    1,528.09x = 2,290.53 × 706.90
  4. Step 4: Simplify right side
    1,528.09x = 1,619,175.66
  5. Step 5: Solve for x
    x = 1,619,175.66/1,528.09
  6. Step 6: Final answer
    x = 1,059.61

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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.