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Finding the Fourth Proportional to 825.10, 1,237.52 and 277.20

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Solution

The fourth proportional to 825.10, 1,237.52 and 277.20 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.10 : 1,237.52 = 277.20 : x
  2. Step 2: Convert to fraction form
    825.10/1,237.52 = 277.20/x
  3. Step 3: Cross multiply
    825.10x = 1,237.52 × 277.20
  4. Step 4: Simplify right side
    825.10x = 343,040.54
  5. Step 5: Solve for x
    x = 343,040.54/825.10
  6. Step 6: Final answer
    x = 415.76

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1.5x scale

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.