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Finding the Fourth Proportional to 604.09, 832.50 and 438.01

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Solution

The fourth proportional to 604.09, 832.50 and 438.01 is: 603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.09 : 832.50 = 438.01 : x
  2. Step 2: Convert to fraction form
    604.09/832.50 = 438.01/x
  3. Step 3: Cross multiply
    604.09x = 832.50 × 438.01
  4. Step 4: Simplify right side
    604.09x = 364,643.33
  5. Step 5: Solve for x
    x = 364,643.33/604.09
  6. Step 6: Final answer
    x = 603.62

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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.