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Finding the Fourth Proportional to 743.02, 1,115.34 and 418.48

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Solution

The fourth proportional to 743.02, 1,115.34 and 418.48 is: 628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.02 : 1,115.34 = 418.48 : x
  2. Step 2: Convert to fraction form
    743.02/1,115.34 = 418.48/x
  3. Step 3: Cross multiply
    743.02x = 1,115.34 × 418.48
  4. Step 4: Simplify right side
    743.02x = 466,747.48
  5. Step 5: Solve for x
    x = 466,747.48/743.02
  6. Step 6: Final answer
    x = 628.18

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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.