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Finding the Fourth Proportional to 742.35, 1,112.79 and 417.47

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Solution

The fourth proportional to 742.35, 1,112.79 and 417.47 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.35 : 1,112.79 = 417.47 : x
  2. Step 2: Convert to fraction form
    742.35/1,112.79 = 417.47/x
  3. Step 3: Cross multiply
    742.35x = 1,112.79 × 417.47
  4. Step 4: Simplify right side
    742.35x = 464,550.88
  5. Step 5: Solve for x
    x = 464,550.88/742.35
  6. Step 6: Final answer
    x = 625.78

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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.