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Finding the Fourth Proportional to 809.82, 1,215.54 and 549.84

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Solution

The fourth proportional to 809.82, 1,215.54 and 549.84 is: 825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,215.54 = 549.84 : x
  2. Step 2: Convert to fraction form
    809.82/1,215.54 = 549.84/x
  3. Step 3: Cross multiply
    809.82x = 1,215.54 × 549.84
  4. Step 4: Simplify right side
    809.82x = 668,352.51
  5. Step 5: Solve for x
    x = 668,352.51/809.82
  6. Step 6: Final answer
    x = 825.31

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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.