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Finding the Fourth Proportional to 603.13, 905.05 and 261.13

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Solution

The fourth proportional to 603.13, 905.05 and 261.13 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.13 : 905.05 = 261.13 : x
  2. Step 2: Convert to fraction form
    603.13/905.05 = 261.13/x
  3. Step 3: Cross multiply
    603.13x = 905.05 × 261.13
  4. Step 4: Simplify right side
    603.13x = 236,335.71
  5. Step 5: Solve for x
    x = 236,335.71/603.13
  6. Step 6: Final answer
    x = 391.85

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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.