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Finding the Fourth Proportional to 1,209.34, 1,812.79 and 478.18

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Solution

The fourth proportional to 1,209.34, 1,812.79 and 478.18 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.34 : 1,812.79 = 478.18 : x
  2. Step 2: Convert to fraction form
    1,209.34/1,812.79 = 478.18/x
  3. Step 3: Cross multiply
    1,209.34x = 1,812.79 × 478.18
  4. Step 4: Simplify right side
    1,209.34x = 866,839.92
  5. Step 5: Solve for x
    x = 866,839.92/1,209.34
  6. Step 6: Final answer
    x = 716.79

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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.