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Finding the Fourth Proportional to 524.70, 785.43 and 421.56

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Solution

The fourth proportional to 524.70, 785.43 and 421.56 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 785.43 = 421.56 : x
  2. Step 2: Convert to fraction form
    524.70/785.43 = 421.56/x
  3. Step 3: Cross multiply
    524.70x = 785.43 × 421.56
  4. Step 4: Simplify right side
    524.70x = 331,105.87
  5. Step 5: Solve for x
    x = 331,105.87/524.70
  6. Step 6: Final answer
    x = 631.04

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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.