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Finding the Fourth Proportional to 742.36, 1,112.48 and 417.05

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Solution

The fourth proportional to 742.36, 1,112.48 and 417.05 is: 624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.36 : 1,112.48 = 417.05 : x
  2. Step 2: Convert to fraction form
    742.36/1,112.48 = 417.05/x
  3. Step 3: Cross multiply
    742.36x = 1,112.48 × 417.05
  4. Step 4: Simplify right side
    742.36x = 463,952.14
  5. Step 5: Solve for x
    x = 463,952.14/742.36
  6. Step 6: Final answer
    x = 624.97

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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.