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Finding the Fourth Proportional to 634.56, 875.36 and 438.24

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Solution

The fourth proportional to 634.56, 875.36 and 438.24 is: 604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 875.36 = 438.24 : x
  2. Step 2: Convert to fraction form
    634.56/875.36 = 438.24/x
  3. Step 3: Cross multiply
    634.56x = 875.36 × 438.24
  4. Step 4: Simplify right side
    634.56x = 383,617.77
  5. Step 5: Solve for x
    x = 383,617.77/634.56
  6. Step 6: Final answer
    x = 604.54

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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.