Home / 1,420.05-1,959.68-830.60

Finding the Fourth Proportional to 1,420.05, 1,959.68 and 830.60

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Solution

The fourth proportional to 1,420.05, 1,959.68 and 830.60 is: 1,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.05 : 1,959.68 = 830.60 : x
  2. Step 2: Convert to fraction form
    1,420.05/1,959.68 = 830.60/x
  3. Step 3: Cross multiply
    1,420.05x = 1,959.68 × 830.60
  4. Step 4: Simplify right side
    1,420.05x = 1,627,696.26
  5. Step 5: Solve for x
    x = 1,627,696.26/1,420.05
  6. Step 6: Final answer
    x = 1,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.