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Finding the Fourth Proportional to 829.44, 1,144.26 and 662.76

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Solution

The fourth proportional to 829.44, 1,144.26 and 662.76 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,144.26 = 662.76 : x
  2. Step 2: Convert to fraction form
    829.44/1,144.26 = 662.76/x
  3. Step 3: Cross multiply
    829.44x = 1,144.26 × 662.76
  4. Step 4: Simplify right side
    829.44x = 758,369.76
  5. Step 5: Solve for x
    x = 758,369.76/829.44
  6. Step 6: Final answer
    x = 914.32

Related Problems

Find fourth proportional to 414.72, 572.13 and 331.38
Half scale
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Double scale
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Similar ratio
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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.