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Finding the Fourth Proportional to 809.61, 1,214.36 and 289.73

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Solution

The fourth proportional to 809.61, 1,214.36 and 289.73 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.61 : 1,214.36 = 289.73 : x
  2. Step 2: Convert to fraction form
    809.61/1,214.36 = 289.73/x
  3. Step 3: Cross multiply
    809.61x = 1,214.36 × 289.73
  4. Step 4: Simplify right side
    809.61x = 351,829.00
  5. Step 5: Solve for x
    x = 351,829.00/809.61
  6. Step 6: Final answer
    x = 434.57

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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.