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Finding the Fourth Proportional to 522.38, 786.19 and 393.05

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Solution

The fourth proportional to 522.38, 786.19 and 393.05 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 786.19 = 393.05 : x
  2. Step 2: Convert to fraction form
    522.38/786.19 = 393.05/x
  3. Step 3: Cross multiply
    522.38x = 786.19 × 393.05
  4. Step 4: Simplify right side
    522.38x = 309,006.08
  5. Step 5: Solve for x
    x = 309,006.08/522.38
  6. Step 6: Final answer
    x = 591.54

Related Problems

Find fourth proportional to 261.19, 393.09 and 196.52
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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.