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Finding the Fourth Proportional to 1,427.42, 2,141.76 and 606.80

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Solution

The fourth proportional to 1,427.42, 2,141.76 and 606.80 is: 910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.42 : 2,141.76 = 606.80 : x
  2. Step 2: Convert to fraction form
    1,427.42/2,141.76 = 606.80/x
  3. Step 3: Cross multiply
    1,427.42x = 2,141.76 × 606.80
  4. Step 4: Simplify right side
    1,427.42x = 1,299,619.97
  5. Step 5: Solve for x
    x = 1,299,619.97/1,427.42
  6. Step 6: Final answer
    x = 910.47

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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.