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Finding the Fourth Proportional to 835.49, 1,252.53 and 315.20

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Solution

The fourth proportional to 835.49, 1,252.53 and 315.20 is: 472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.49 : 1,252.53 = 315.20 : x
  2. Step 2: Convert to fraction form
    835.49/1,252.53 = 315.20/x
  3. Step 3: Cross multiply
    835.49x = 1,252.53 × 315.20
  4. Step 4: Simplify right side
    835.49x = 394,797.46
  5. Step 5: Solve for x
    x = 394,797.46/835.49
  6. Step 6: Final answer
    x = 472.54

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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.