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Finding the Fourth Proportional to 600.75, 829.20 and 401.96

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Solution

The fourth proportional to 600.75, 829.20 and 401.96 is: 554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 829.20 = 401.96 : x
  2. Step 2: Convert to fraction form
    600.75/829.20 = 401.96/x
  3. Step 3: Cross multiply
    600.75x = 829.20 × 401.96
  4. Step 4: Simplify right side
    600.75x = 333,308.81
  5. Step 5: Solve for x
    x = 333,308.81/600.75
  6. Step 6: Final answer
    x = 554.82

Related Problems

Find fourth proportional to 300.38, 414.60 and 200.98
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.