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Finding the Fourth Proportional to 1,147.60, 1,696.99 and 1,147.60

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Solution

The fourth proportional to 1,147.60, 1,696.99 and 1,147.60 is: 1,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.60 : 1,696.99 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    1,147.60/1,696.99 = 1,147.60/x
  3. Step 3: Cross multiply
    1,147.60x = 1,696.99 × 1,147.60
  4. Step 4: Simplify right side
    1,147.60x = 1,947,465.72
  5. Step 5: Solve for x
    x = 1,947,465.72/1,147.60
  6. Step 6: Final answer
    x = 1,696.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.