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Finding the Fourth Proportional to 835.88, 1,253.40 and 315.86

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Solution

The fourth proportional to 835.88, 1,253.40 and 315.86 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.88 : 1,253.40 = 315.86 : x
  2. Step 2: Convert to fraction form
    835.88/1,253.40 = 315.86/x
  3. Step 3: Cross multiply
    835.88x = 1,253.40 × 315.86
  4. Step 4: Simplify right side
    835.88x = 395,898.92
  5. Step 5: Solve for x
    x = 395,898.92/835.88
  6. Step 6: Final answer
    x = 473.63

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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.