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Finding the Fourth Proportional to 825.10, 1,237.34 and 304.97

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Solution

The fourth proportional to 825.10, 1,237.34 and 304.97 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.10 : 1,237.34 = 304.97 : x
  2. Step 2: Convert to fraction form
    825.10/1,237.34 = 304.97/x
  3. Step 3: Cross multiply
    825.10x = 1,237.34 × 304.97
  4. Step 4: Simplify right side
    825.10x = 377,346.16
  5. Step 5: Solve for x
    x = 377,346.16/825.10
  6. Step 6: Final answer
    x = 457.34

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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.