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Finding the Fourth Proportional to 809.84, 1,212.60 and 442.91

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Solution

The fourth proportional to 809.84, 1,212.60 and 442.91 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.84 : 1,212.60 = 442.91 : x
  2. Step 2: Convert to fraction form
    809.84/1,212.60 = 442.91/x
  3. Step 3: Cross multiply
    809.84x = 1,212.60 × 442.91
  4. Step 4: Simplify right side
    809.84x = 537,072.67
  5. Step 5: Solve for x
    x = 537,072.67/809.84
  6. Step 6: Final answer
    x = 663.18

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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.