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Finding the Fourth Proportional to 809.12, 1,211.92 and 501.05

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Solution

The fourth proportional to 809.12, 1,211.92 and 501.05 is: 750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.12 : 1,211.92 = 501.05 : x
  2. Step 2: Convert to fraction form
    809.12/1,211.92 = 501.05/x
  3. Step 3: Cross multiply
    809.12x = 1,211.92 × 501.05
  4. Step 4: Simplify right side
    809.12x = 607,232.52
  5. Step 5: Solve for x
    x = 607,232.52/809.12
  6. Step 6: Final answer
    x = 750.49

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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.