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Finding the Fourth Proportional to 603.12, 832.62 and 407.66

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Solution

The fourth proportional to 603.12, 832.62 and 407.66 is: 562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.12 : 832.62 = 407.66 : x
  2. Step 2: Convert to fraction form
    603.12/832.62 = 407.66/x
  3. Step 3: Cross multiply
    603.12x = 832.62 × 407.66
  4. Step 4: Simplify right side
    603.12x = 339,425.87
  5. Step 5: Solve for x
    x = 339,425.87/603.12
  6. Step 6: Final answer
    x = 562.78

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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.