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Finding the Fourth Proportional to 743.37, 1,115.03 and 431.48

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Solution

The fourth proportional to 743.37, 1,115.03 and 431.48 is: 647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.37 : 1,115.03 = 431.48 : x
  2. Step 2: Convert to fraction form
    743.37/1,115.03 = 431.48/x
  3. Step 3: Cross multiply
    743.37x = 1,115.03 × 431.48
  4. Step 4: Simplify right side
    743.37x = 481,105.41
  5. Step 5: Solve for x
    x = 481,105.41/743.37
  6. Step 6: Final answer
    x = 647.20

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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.