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Finding the Fourth Proportional to 603.83, 832.97 and 382.70

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Solution

The fourth proportional to 603.83, 832.97 and 382.70 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.83 : 832.97 = 382.70 : x
  2. Step 2: Convert to fraction form
    603.83/832.97 = 382.70/x
  3. Step 3: Cross multiply
    603.83x = 832.97 × 382.70
  4. Step 4: Simplify right side
    603.83x = 318,780.66
  5. Step 5: Solve for x
    x = 318,780.66/603.83
  6. Step 6: Final answer
    x = 527.93

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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.