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Finding the Fourth Proportional to 524.73, 785.04 and 422.22

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Solution

The fourth proportional to 524.73, 785.04 and 422.22 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 785.04 = 422.22 : x
  2. Step 2: Convert to fraction form
    524.73/785.04 = 422.22/x
  3. Step 3: Cross multiply
    524.73x = 785.04 × 422.22
  4. Step 4: Simplify right side
    524.73x = 331,459.59
  5. Step 5: Solve for x
    x = 331,459.59/524.73
  6. Step 6: Final answer
    x = 631.68

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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.