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Finding the Fourth Proportional to 743.92, 1,114.78 and 538.92

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Solution

The fourth proportional to 743.92, 1,114.78 and 538.92 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,114.78 = 538.92 : x
  2. Step 2: Convert to fraction form
    743.92/1,114.78 = 538.92/x
  3. Step 3: Cross multiply
    743.92x = 1,114.78 × 538.92
  4. Step 4: Simplify right side
    743.92x = 600,777.24
  5. Step 5: Solve for x
    x = 600,777.24/743.92
  6. Step 6: Final answer
    x = 807.58

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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.