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Finding the Fourth Proportional to 809.63, 1,214.30 and 261.74

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Solution

The fourth proportional to 809.63, 1,214.30 and 261.74 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,214.30 = 261.74 : x
  2. Step 2: Convert to fraction form
    809.63/1,214.30 = 261.74/x
  3. Step 3: Cross multiply
    809.63x = 1,214.30 × 261.74
  4. Step 4: Simplify right side
    809.63x = 317,823.50
  5. Step 5: Solve for x
    x = 317,823.50/809.63
  6. Step 6: Final answer
    x = 392.56

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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.