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Finding the Fourth Proportional to 1,110.75, 1,533.04 and 779.69

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Solution

The fourth proportional to 1,110.75, 1,533.04 and 779.69 is: 1,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.75 : 1,533.04 = 779.69 : x
  2. Step 2: Convert to fraction form
    1,110.75/1,533.04 = 779.69/x
  3. Step 3: Cross multiply
    1,110.75x = 1,533.04 × 779.69
  4. Step 4: Simplify right side
    1,110.75x = 1,195,295.96
  5. Step 5: Solve for x
    x = 1,195,295.96/1,110.75
  6. Step 6: Final answer
    x = 1,076.12

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.