Home / 1,427.40-2,142.30-648.60

Finding the Fourth Proportional to 1,427.40, 2,142.30 and 648.60

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Solution

The fourth proportional to 1,427.40, 2,142.30 and 648.60 is: 973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 2,142.30 = 648.60 : x
  2. Step 2: Convert to fraction form
    1,427.40/2,142.30 = 648.60/x
  3. Step 3: Cross multiply
    1,427.40x = 2,142.30 × 648.60
  4. Step 4: Simplify right side
    1,427.40x = 1,389,495.78
  5. Step 5: Solve for x
    x = 1,389,495.78/1,427.40
  6. Step 6: Final answer
    x = 973.45

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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.