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Finding the Fourth Proportional to 1,172.96, 1,759.06 and 392.80

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Solution

The fourth proportional to 1,172.96, 1,759.06 and 392.80 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.96 : 1,759.06 = 392.80 : x
  2. Step 2: Convert to fraction form
    1,172.96/1,759.06 = 392.80/x
  3. Step 3: Cross multiply
    1,172.96x = 1,759.06 × 392.80
  4. Step 4: Simplify right side
    1,172.96x = 690,958.77
  5. Step 5: Solve for x
    x = 690,958.77/1,172.96
  6. Step 6: Final answer
    x = 589.07

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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.