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Finding the Fourth Proportional to 905.56, 1,239.70 and 899.48

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Solution

The fourth proportional to 905.56, 1,239.70 and 899.48 is: 1,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.56 : 1,239.70 = 899.48 : x
  2. Step 2: Convert to fraction form
    905.56/1,239.70 = 899.48/x
  3. Step 3: Cross multiply
    905.56x = 1,239.70 × 899.48
  4. Step 4: Simplify right side
    905.56x = 1,115,085.36
  5. Step 5: Solve for x
    x = 1,115,085.36/905.56
  6. Step 6: Final answer
    x = 1,231.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.