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Finding the Fourth Proportional to 828.68, 1,240.74 and 674.24

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Solution

The fourth proportional to 828.68, 1,240.74 and 674.24 is: 1,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.68 : 1,240.74 = 674.24 : x
  2. Step 2: Convert to fraction form
    828.68/1,240.74 = 674.24/x
  3. Step 3: Cross multiply
    828.68x = 1,240.74 × 674.24
  4. Step 4: Simplify right side
    828.68x = 836,556.54
  5. Step 5: Solve for x
    x = 836,556.54/828.68
  6. Step 6: Final answer
    x = 1,009.50

Related Problems

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