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Finding the Fourth Proportional to 905.10, 1,247.82 and 573.36

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Solution

The fourth proportional to 905.10, 1,247.82 and 573.36 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.10 : 1,247.82 = 573.36 : x
  2. Step 2: Convert to fraction form
    905.10/1,247.82 = 573.36/x
  3. Step 3: Cross multiply
    905.10x = 1,247.82 × 573.36
  4. Step 4: Simplify right side
    905.10x = 715,450.08
  5. Step 5: Solve for x
    x = 715,450.08/905.10
  6. Step 6: Final answer
    x = 790.47

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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.