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Finding the Fourth Proportional to 994.22, 1,372.01 and 574.57

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Solution

The fourth proportional to 994.22, 1,372.01 and 574.57 is: 792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.22 : 1,372.01 = 574.57 : x
  2. Step 2: Convert to fraction form
    994.22/1,372.01 = 574.57/x
  3. Step 3: Cross multiply
    994.22x = 1,372.01 × 574.57
  4. Step 4: Simplify right side
    994.22x = 788,307.99
  5. Step 5: Solve for x
    x = 788,307.99/994.22
  6. Step 6: Final answer
    x = 792.89

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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.