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Finding the Fourth Proportional to 603.34, 832.69 and 438.10

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Solution

The fourth proportional to 603.34, 832.69 and 438.10 is: 604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.34 : 832.69 = 438.10 : x
  2. Step 2: Convert to fraction form
    603.34/832.69 = 438.10/x
  3. Step 3: Cross multiply
    603.34x = 832.69 × 438.10
  4. Step 4: Simplify right side
    603.34x = 364,801.49
  5. Step 5: Solve for x
    x = 364,801.49/603.34
  6. Step 6: Final answer
    x = 604.64

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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.