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Finding the Fourth Proportional to 1,418.42, 2,127.63 and 444.53

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Solution

The fourth proportional to 1,418.42, 2,127.63 and 444.53 is: 666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.42 : 2,127.63 = 444.53 : x
  2. Step 2: Convert to fraction form
    1,418.42/2,127.63 = 444.53/x
  3. Step 3: Cross multiply
    1,418.42x = 2,127.63 × 444.53
  4. Step 4: Simplify right side
    1,418.42x = 945,784.73
  5. Step 5: Solve for x
    x = 945,784.73/1,418.42
  6. Step 6: Final answer
    x = 666.79

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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.