Home / 1,322.50-1,984.32-706.03

Finding the Fourth Proportional to 1,322.50, 1,984.32 and 706.03

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Solution

The fourth proportional to 1,322.50, 1,984.32 and 706.03 is: 1,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.50 : 1,984.32 = 706.03 : x
  2. Step 2: Convert to fraction form
    1,322.50/1,984.32 = 706.03/x
  3. Step 3: Cross multiply
    1,322.50x = 1,984.32 × 706.03
  4. Step 4: Simplify right side
    1,322.50x = 1,400,989.45
  5. Step 5: Solve for x
    x = 1,400,989.45/1,322.50
  6. Step 6: Final answer
    x = 1,059.35

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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.