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Finding the Fourth Proportional to 1,208.76, 1,812.64 and 478.12

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Solution

The fourth proportional to 1,208.76, 1,812.64 and 478.12 is: 716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.76 : 1,812.64 = 478.12 : x
  2. Step 2: Convert to fraction form
    1,208.76/1,812.64 = 478.12/x
  3. Step 3: Cross multiply
    1,208.76x = 1,812.64 × 478.12
  4. Step 4: Simplify right side
    1,208.76x = 866,659.44
  5. Step 5: Solve for x
    x = 866,659.44/1,208.76
  6. Step 6: Final answer
    x = 716.98

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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.