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Finding the Fourth Proportional to 1,172.72, 1,759.55 and 653.07

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Solution

The fourth proportional to 1,172.72, 1,759.55 and 653.07 is: 979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.72 : 1,759.55 = 653.07 : x
  2. Step 2: Convert to fraction form
    1,172.72/1,759.55 = 653.07/x
  3. Step 3: Cross multiply
    1,172.72x = 1,759.55 × 653.07
  4. Step 4: Simplify right side
    1,172.72x = 1,149,106.05
  5. Step 5: Solve for x
    x = 1,149,106.05/1,172.72
  6. Step 6: Final answer
    x = 979.87

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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.