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Finding the Fourth Proportional to 829.94, 1,243.23 and 444.50

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Solution

The fourth proportional to 829.94, 1,243.23 and 444.50 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.94 : 1,243.23 = 444.50 : x
  2. Step 2: Convert to fraction form
    829.94/1,243.23 = 444.50/x
  3. Step 3: Cross multiply
    829.94x = 1,243.23 × 444.50
  4. Step 4: Simplify right side
    829.94x = 552,615.74
  5. Step 5: Solve for x
    x = 552,615.74/829.94
  6. Step 6: Final answer
    x = 665.85

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