Home / 1,322.28-1,984.62-706.48

Finding the Fourth Proportional to 1,322.28, 1,984.62 and 706.48

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Solution

The fourth proportional to 1,322.28, 1,984.62 and 706.48 is: 1,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.28 : 1,984.62 = 706.48 : x
  2. Step 2: Convert to fraction form
    1,322.28/1,984.62 = 706.48/x
  3. Step 3: Cross multiply
    1,322.28x = 1,984.62 × 706.48
  4. Step 4: Simplify right side
    1,322.28x = 1,402,094.34
  5. Step 5: Solve for x
    x = 1,402,094.34/1,322.28
  6. Step 6: Final answer
    x = 1,060.36

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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.