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Finding the Fourth Proportional to 1,112.74, 1,660.37 and 930.49

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Solution

The fourth proportional to 1,112.74, 1,660.37 and 930.49 is: 1,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.74 : 1,660.37 = 930.49 : x
  2. Step 2: Convert to fraction form
    1,112.74/1,660.37 = 930.49/x
  3. Step 3: Cross multiply
    1,112.74x = 1,660.37 × 930.49
  4. Step 4: Simplify right side
    1,112.74x = 1,544,948.88
  5. Step 5: Solve for x
    x = 1,544,948.88/1,112.74
  6. Step 6: Final answer
    x = 1,388.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.