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Finding the Fourth Proportional to 522.27, 783.10 and 445.27

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Solution

The fourth proportional to 522.27, 783.10 and 445.27 is: 667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 783.10 = 445.27 : x
  2. Step 2: Convert to fraction form
    522.27/783.10 = 445.27/x
  3. Step 3: Cross multiply
    522.27x = 783.10 × 445.27
  4. Step 4: Simplify right side
    522.27x = 348,690.94
  5. Step 5: Solve for x
    x = 348,690.94/522.27
  6. Step 6: Final answer
    x = 667.64

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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.