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Finding the Fourth Proportional to 807.47, 1,208.82 and 546.78

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Solution

The fourth proportional to 807.47, 1,208.82 and 546.78 is: 818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.47 : 1,208.82 = 546.78 : x
  2. Step 2: Convert to fraction form
    807.47/1,208.82 = 546.78/x
  3. Step 3: Cross multiply
    807.47x = 1,208.82 × 546.78
  4. Step 4: Simplify right side
    807.47x = 660,965.18
  5. Step 5: Solve for x
    x = 660,965.18/807.47
  6. Step 6: Final answer
    x = 818.56

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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.