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Finding the Fourth Proportional to 522.81, 784.22 and 306.27

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Solution

The fourth proportional to 522.81, 784.22 and 306.27 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.81 : 784.22 = 306.27 : x
  2. Step 2: Convert to fraction form
    522.81/784.22 = 306.27/x
  3. Step 3: Cross multiply
    522.81x = 784.22 × 306.27
  4. Step 4: Simplify right side
    522.81x = 240,181.53
  5. Step 5: Solve for x
    x = 240,181.53/522.81
  6. Step 6: Final answer
    x = 459.41

Related Problems

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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.