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Finding the Fourth Proportional to 1,054.24, 1,452.90 and 820.96

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Solution

The fourth proportional to 1,054.24, 1,452.90 and 820.96 is: 1,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.24 : 1,452.90 = 820.96 : x
  2. Step 2: Convert to fraction form
    1,054.24/1,452.90 = 820.96/x
  3. Step 3: Cross multiply
    1,054.24x = 1,452.90 × 820.96
  4. Step 4: Simplify right side
    1,054.24x = 1,192,772.78
  5. Step 5: Solve for x
    x = 1,192,772.78/1,054.24
  6. Step 6: Final answer
    x = 1,131.41

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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.