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Finding the Fourth Proportional to 807.63, 1,212.45 and 548.76

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Solution

The fourth proportional to 807.63, 1,212.45 and 548.76 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.63 : 1,212.45 = 548.76 : x
  2. Step 2: Convert to fraction form
    807.63/1,212.45 = 548.76/x
  3. Step 3: Cross multiply
    807.63x = 1,212.45 × 548.76
  4. Step 4: Simplify right side
    807.63x = 665,344.06
  5. Step 5: Solve for x
    x = 665,344.06/807.63
  6. Step 6: Final answer
    x = 823.82

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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.