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Finding the Fourth Proportional to 522.45, 784.26 and 306.18

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Solution

The fourth proportional to 522.45, 784.26 and 306.18 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 784.26 = 306.18 : x
  2. Step 2: Convert to fraction form
    522.45/784.26 = 306.18/x
  3. Step 3: Cross multiply
    522.45x = 784.26 × 306.18
  4. Step 4: Simplify right side
    522.45x = 240,124.73
  5. Step 5: Solve for x
    x = 240,124.73/522.45
  6. Step 6: Final answer
    x = 459.61

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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.