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Finding the Fourth Proportional to 634.56, 875.17 and 523.99

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Solution

The fourth proportional to 634.56, 875.17 and 523.99 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 875.17 = 523.99 : x
  2. Step 2: Convert to fraction form
    634.56/875.17 = 523.99/x
  3. Step 3: Cross multiply
    634.56x = 875.17 × 523.99
  4. Step 4: Simplify right side
    634.56x = 458,580.33
  5. Step 5: Solve for x
    x = 458,580.33/634.56
  6. Step 6: Final answer
    x = 722.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.