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Finding the Fourth Proportional to 930.79, 1,284.64 and 538.04

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Solution

The fourth proportional to 930.79, 1,284.64 and 538.04 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.79 : 1,284.64 = 538.04 : x
  2. Step 2: Convert to fraction form
    930.79/1,284.64 = 538.04/x
  3. Step 3: Cross multiply
    930.79x = 1,284.64 × 538.04
  4. Step 4: Simplify right side
    930.79x = 691,183.56
  5. Step 5: Solve for x
    x = 691,183.56/930.79
  6. Step 6: Final answer
    x = 742.58

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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.