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Finding the Fourth Proportional to 809.58, 1,212.06 and 615.37

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Solution

The fourth proportional to 809.58, 1,212.06 and 615.37 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.58 : 1,212.06 = 615.37 : x
  2. Step 2: Convert to fraction form
    809.58/1,212.06 = 615.37/x
  3. Step 3: Cross multiply
    809.58x = 1,212.06 × 615.37
  4. Step 4: Simplify right side
    809.58x = 745,856.23
  5. Step 5: Solve for x
    x = 745,856.23/809.58
  6. Step 6: Final answer
    x = 921.29

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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.