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Finding the Fourth Proportional to 579.42, 799.11 and 411.93

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Solution

The fourth proportional to 579.42, 799.11 and 411.93 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 799.11 = 411.93 : x
  2. Step 2: Convert to fraction form
    579.42/799.11 = 411.93/x
  3. Step 3: Cross multiply
    579.42x = 799.11 × 411.93
  4. Step 4: Simplify right side
    579.42x = 329,177.38
  5. Step 5: Solve for x
    x = 329,177.38/579.42
  6. Step 6: Final answer
    x = 568.12

Related Problems

Find fourth proportional to 289.71, 399.56 and 205.97
Half scale
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Double scale
Find fourth proportional to 580.42, 800.49 and 412.93
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.