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Finding the Fourth Proportional to 1,447.97, 2,172.10 and 407.98

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Solution

The fourth proportional to 1,447.97, 2,172.10 and 407.98 is: 612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.97 : 2,172.10 = 407.98 : x
  2. Step 2: Convert to fraction form
    1,447.97/2,172.10 = 407.98/x
  3. Step 3: Cross multiply
    1,447.97x = 2,172.10 × 407.98
  4. Step 4: Simplify right side
    1,447.97x = 886,173.36
  5. Step 5: Solve for x
    x = 886,173.36/1,447.97
  6. Step 6: Final answer
    x = 612.01

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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.