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Finding the Fourth Proportional to 809.49, 1,214.20 and 787.62

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Solution

The fourth proportional to 809.49, 1,214.20 and 787.62 is: 1,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.49 : 1,214.20 = 787.62 : x
  2. Step 2: Convert to fraction form
    809.49/1,214.20 = 787.62/x
  3. Step 3: Cross multiply
    809.49x = 1,214.20 × 787.62
  4. Step 4: Simplify right side
    809.49x = 956,328.20
  5. Step 5: Solve for x
    x = 956,328.20/809.49
  6. Step 6: Final answer
    x = 1,181.40

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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.