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Finding the Fourth Proportional to 807.84, 1,209.47 and 514.61

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Solution

The fourth proportional to 807.84, 1,209.47 and 514.61 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.84 : 1,209.47 = 514.61 : x
  2. Step 2: Convert to fraction form
    807.84/1,209.47 = 514.61/x
  3. Step 3: Cross multiply
    807.84x = 1,209.47 × 514.61
  4. Step 4: Simplify right side
    807.84x = 622,405.36
  5. Step 5: Solve for x
    x = 622,405.36/807.84
  6. Step 6: Final answer
    x = 770.46

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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.