Home / 1,428.22-2,140.23-648.46

Finding the Fourth Proportional to 1,428.22, 2,140.23 and 648.46

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Solution

The fourth proportional to 1,428.22, 2,140.23 and 648.46 is: 971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.22 : 2,140.23 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,428.22/2,140.23 = 648.46/x
  3. Step 3: Cross multiply
    1,428.22x = 2,140.23 × 648.46
  4. Step 4: Simplify right side
    1,428.22x = 1,387,853.55
  5. Step 5: Solve for x
    x = 1,387,853.55/1,428.22
  6. Step 6: Final answer
    x = 971.74

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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.