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Finding the Fourth Proportional to 844.95, 1,267.65 and 324.95

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Solution

The fourth proportional to 844.95, 1,267.65 and 324.95 is: 487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.95 : 1,267.65 = 324.95 : x
  2. Step 2: Convert to fraction form
    844.95/1,267.65 = 324.95/x
  3. Step 3: Cross multiply
    844.95x = 1,267.65 × 324.95
  4. Step 4: Simplify right side
    844.95x = 411,926.04
  5. Step 5: Solve for x
    x = 411,926.04/844.95
  6. Step 6: Final answer
    x = 487.52

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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.