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Finding the Fourth Proportional to 1,172.23, 1,757.48 and 709.90

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Solution

The fourth proportional to 1,172.23, 1,757.48 and 709.90 is: 1,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.23 : 1,757.48 = 709.90 : x
  2. Step 2: Convert to fraction form
    1,172.23/1,757.48 = 709.90/x
  3. Step 3: Cross multiply
    1,172.23x = 1,757.48 × 709.90
  4. Step 4: Simplify right side
    1,172.23x = 1,247,627.11
  5. Step 5: Solve for x
    x = 1,247,627.11/1,172.23
  6. Step 6: Final answer
    x = 1,064.32

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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.