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Finding the Fourth Proportional to 1,173.52, 1,617.60 and 911.62

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Solution

The fourth proportional to 1,173.52, 1,617.60 and 911.62 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.52 : 1,617.60 = 911.62 : x
  2. Step 2: Convert to fraction form
    1,173.52/1,617.60 = 911.62/x
  3. Step 3: Cross multiply
    1,173.52x = 1,617.60 × 911.62
  4. Step 4: Simplify right side
    1,173.52x = 1,474,636.51
  5. Step 5: Solve for x
    x = 1,474,636.51/1,173.52
  6. Step 6: Final answer
    x = 1,256.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.