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Finding the Fourth Proportional to 1,130.23, 1,696.20 and 481.42

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Solution

The fourth proportional to 1,130.23, 1,696.20 and 481.42 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,696.20 = 481.42 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,696.20 = 481.42/x
  3. Step 3: Cross multiply
    1,130.23x = 1,696.20 × 481.42
  4. Step 4: Simplify right side
    1,130.23x = 816,584.60
  5. Step 5: Solve for x
    x = 816,584.60/1,130.23
  6. Step 6: Final answer
    x = 722.49

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Double scale
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1.5x scale

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.