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Finding the Fourth Proportional to 743.11, 1,115.37 and 538.79

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Solution

The fourth proportional to 743.11, 1,115.37 and 538.79 is: 808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.11 : 1,115.37 = 538.79 : x
  2. Step 2: Convert to fraction form
    743.11/1,115.37 = 538.79/x
  3. Step 3: Cross multiply
    743.11x = 1,115.37 × 538.79
  4. Step 4: Simplify right side
    743.11x = 600,944.63
  5. Step 5: Solve for x
    x = 600,944.63/743.11
  6. Step 6: Final answer
    x = 808.69

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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.