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Finding the Fourth Proportional to 522.75, 784.12 and 214.38

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Solution

The fourth proportional to 522.75, 784.12 and 214.38 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 784.12 = 214.38 : x
  2. Step 2: Convert to fraction form
    522.75/784.12 = 214.38/x
  3. Step 3: Cross multiply
    522.75x = 784.12 × 214.38
  4. Step 4: Simplify right side
    522.75x = 168,099.65
  5. Step 5: Solve for x
    x = 168,099.65/522.75
  6. Step 6: Final answer
    x = 321.57

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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.