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Finding the Fourth Proportional to 743.37, 1,114.71 and 418.74

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Solution

The fourth proportional to 743.37, 1,114.71 and 418.74 is: 627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.37 : 1,114.71 = 418.74 : x
  2. Step 2: Convert to fraction form
    743.37/1,114.71 = 418.74/x
  3. Step 3: Cross multiply
    743.37x = 1,114.71 × 418.74
  4. Step 4: Simplify right side
    743.37x = 466,770.27
  5. Step 5: Solve for x
    x = 466,770.27/743.37
  6. Step 6: Final answer
    x = 627.91

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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.