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Finding the Fourth Proportional to 604.35, 832.50 and 438.12

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Solution

The fourth proportional to 604.35, 832.50 and 438.12 is: 603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.35 : 832.50 = 438.12 : x
  2. Step 2: Convert to fraction form
    604.35/832.50 = 438.12/x
  3. Step 3: Cross multiply
    604.35x = 832.50 × 438.12
  4. Step 4: Simplify right side
    604.35x = 364,734.90
  5. Step 5: Solve for x
    x = 364,734.90/604.35
  6. Step 6: Final answer
    x = 603.52

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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.