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Finding the Fourth Proportional to 896.24, 1,235.88 and 634.16

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Solution

The fourth proportional to 896.24, 1,235.88 and 634.16 is: 874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.24 : 1,235.88 = 634.16 : x
  2. Step 2: Convert to fraction form
    896.24/1,235.88 = 634.16/x
  3. Step 3: Cross multiply
    896.24x = 1,235.88 × 634.16
  4. Step 4: Simplify right side
    896.24x = 783,745.66
  5. Step 5: Solve for x
    x = 783,745.66/896.24
  6. Step 6: Final answer
    x = 874.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.