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Finding the Fourth Proportional to 1,094.67, 1,511.58 and 721.51

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Solution

The fourth proportional to 1,094.67, 1,511.58 and 721.51 is: 996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.67 : 1,511.58 = 721.51 : x
  2. Step 2: Convert to fraction form
    1,094.67/1,511.58 = 721.51/x
  3. Step 3: Cross multiply
    1,094.67x = 1,511.58 × 721.51
  4. Step 4: Simplify right side
    1,094.67x = 1,090,621.98
  5. Step 5: Solve for x
    x = 1,090,621.98/1,094.67
  6. Step 6: Final answer
    x = 996.30

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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.