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Finding the Fourth Proportional to 835.14, 1,253.28 and 322.14

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Solution

The fourth proportional to 835.14, 1,253.28 and 322.14 is: 483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.14 : 1,253.28 = 322.14 : x
  2. Step 2: Convert to fraction form
    835.14/1,253.28 = 322.14/x
  3. Step 3: Cross multiply
    835.14x = 1,253.28 × 322.14
  4. Step 4: Simplify right side
    835.14x = 403,731.62
  5. Step 5: Solve for x
    x = 403,731.62/835.14
  6. Step 6: Final answer
    x = 483.43

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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.