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Finding the Fourth Proportional to 1,447.79, 2,172.06 and 625.86

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Solution

The fourth proportional to 1,447.79, 2,172.06 and 625.86 is: 938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.79 : 2,172.06 = 625.86 : x
  2. Step 2: Convert to fraction form
    1,447.79/2,172.06 = 625.86/x
  3. Step 3: Cross multiply
    1,447.79x = 2,172.06 × 625.86
  4. Step 4: Simplify right side
    1,447.79x = 1,359,412.44
  5. Step 5: Solve for x
    x = 1,359,412.44/1,447.79
  6. Step 6: Final answer
    x = 938.96

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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.