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Finding the Fourth Proportional to 742.28, 1,113.44 and 569.26

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Solution

The fourth proportional to 742.28, 1,113.44 and 569.26 is: 853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,113.44 = 569.26 : x
  2. Step 2: Convert to fraction form
    742.28/1,113.44 = 569.26/x
  3. Step 3: Cross multiply
    742.28x = 1,113.44 × 569.26
  4. Step 4: Simplify right side
    742.28x = 633,836.85
  5. Step 5: Solve for x
    x = 633,836.85/742.28
  6. Step 6: Final answer
    x = 853.91

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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.