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Finding the Fourth Proportional to 1,419.01, 2,127.60 and 494.50

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Solution

The fourth proportional to 1,419.01, 2,127.60 and 494.50 is: 741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.01 : 2,127.60 = 494.50 : x
  2. Step 2: Convert to fraction form
    1,419.01/2,127.60 = 494.50/x
  3. Step 3: Cross multiply
    1,419.01x = 2,127.60 × 494.50
  4. Step 4: Simplify right side
    1,419.01x = 1,052,098.20
  5. Step 5: Solve for x
    x = 1,052,098.20/1,419.01
  6. Step 6: Final answer
    x = 741.43

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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.