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Finding the Fourth Proportional to 743.86, 1,115.04 and 537.93

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Solution

The fourth proportional to 743.86, 1,115.04 and 537.93 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.86 : 1,115.04 = 537.93 : x
  2. Step 2: Convert to fraction form
    743.86/1,115.04 = 537.93/x
  3. Step 3: Cross multiply
    743.86x = 1,115.04 × 537.93
  4. Step 4: Simplify right side
    743.86x = 599,813.47
  5. Step 5: Solve for x
    x = 599,813.47/743.86
  6. Step 6: Final answer
    x = 806.35

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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.