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Finding the Fourth Proportional to 522.83, 784.36 and 262.97

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Solution

The fourth proportional to 522.83, 784.36 and 262.97 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 784.36 = 262.97 : x
  2. Step 2: Convert to fraction form
    522.83/784.36 = 262.97/x
  3. Step 3: Cross multiply
    522.83x = 784.36 × 262.97
  4. Step 4: Simplify right side
    522.83x = 206,263.96
  5. Step 5: Solve for x
    x = 206,263.96/522.83
  6. Step 6: Final answer
    x = 394.51

Related Problems

Find fourth proportional to 261.41, 392.18 and 131.49
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.