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Finding the Fourth Proportional to 835.16, 1,257.18 and 641.24

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Solution

The fourth proportional to 835.16, 1,257.18 and 641.24 is: 965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.16 : 1,257.18 = 641.24 : x
  2. Step 2: Convert to fraction form
    835.16/1,257.18 = 641.24/x
  3. Step 3: Cross multiply
    835.16x = 1,257.18 × 641.24
  4. Step 4: Simplify right side
    835.16x = 806,150.22
  5. Step 5: Solve for x
    x = 806,150.22/835.16
  6. Step 6: Final answer
    x = 965.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.