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Finding the Fourth Proportional to 1,270.75, 1,753.23 and 828.49

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Solution

The fourth proportional to 1,270.75, 1,753.23 and 828.49 is: 1,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.75 : 1,753.23 = 828.49 : x
  2. Step 2: Convert to fraction form
    1,270.75/1,753.23 = 828.49/x
  3. Step 3: Cross multiply
    1,270.75x = 1,753.23 × 828.49
  4. Step 4: Simplify right side
    1,270.75x = 1,452,533.52
  5. Step 5: Solve for x
    x = 1,452,533.52/1,270.75
  6. Step 6: Final answer
    x = 1,143.05

Related Problems

Find fourth proportional to 635.38, 876.62 and 414.25
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.