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Finding the Fourth Proportional to 930.85, 1,284.73 and 538.11

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Solution

The fourth proportional to 930.85, 1,284.73 and 538.11 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.85 : 1,284.73 = 538.11 : x
  2. Step 2: Convert to fraction form
    930.85/1,284.73 = 538.11/x
  3. Step 3: Cross multiply
    930.85x = 1,284.73 × 538.11
  4. Step 4: Simplify right side
    930.85x = 691,324.72
  5. Step 5: Solve for x
    x = 691,324.72/930.85
  6. Step 6: Final answer
    x = 742.68

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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.