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Finding the Fourth Proportional to 603.14, 905.02 and 456.84

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Solution

The fourth proportional to 603.14, 905.02 and 456.84 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 905.02 = 456.84 : x
  2. Step 2: Convert to fraction form
    603.14/905.02 = 456.84/x
  3. Step 3: Cross multiply
    603.14x = 905.02 × 456.84
  4. Step 4: Simplify right side
    603.14x = 413,448.19
  5. Step 5: Solve for x
    x = 413,448.19/603.14
  6. Step 6: Final answer
    x = 685.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.