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Finding the Fourth Proportional to 603.64, 832.56 and 438.40

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Solution

The fourth proportional to 603.64, 832.56 and 438.40 is: 604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.64 : 832.56 = 438.40 : x
  2. Step 2: Convert to fraction form
    603.64/832.56 = 438.40/x
  3. Step 3: Cross multiply
    603.64x = 832.56 × 438.40
  4. Step 4: Simplify right side
    603.64x = 364,990.14
  5. Step 5: Solve for x
    x = 364,990.14/603.64
  6. Step 6: Final answer
    x = 604.65

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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.