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Finding the Fourth Proportional to 905.86, 1,250.13 and 709.03

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Solution

The fourth proportional to 905.86, 1,250.13 and 709.03 is: 978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.86 : 1,250.13 = 709.03 : x
  2. Step 2: Convert to fraction form
    905.86/1,250.13 = 709.03/x
  3. Step 3: Cross multiply
    905.86x = 1,250.13 × 709.03
  4. Step 4: Simplify right side
    905.86x = 886,383.90
  5. Step 5: Solve for x
    x = 886,383.90/905.86
  6. Step 6: Final answer
    x = 978.50

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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.