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Finding the Fourth Proportional to 603.84, 833.33 and 456.21

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Solution

The fourth proportional to 603.84, 833.33 and 456.21 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 833.33 = 456.21 : x
  2. Step 2: Convert to fraction form
    603.84/833.33 = 456.21/x
  3. Step 3: Cross multiply
    603.84x = 833.33 × 456.21
  4. Step 4: Simplify right side
    603.84x = 380,171.20
  5. Step 5: Solve for x
    x = 380,171.20/603.84
  6. Step 6: Final answer
    x = 629.59

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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.