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Finding the Fourth Proportional to 1,212.60, 1,817.78 and 482.70

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Solution

The fourth proportional to 1,212.60, 1,817.78 and 482.70 is: 723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.60 : 1,817.78 = 482.70 : x
  2. Step 2: Convert to fraction form
    1,212.60/1,817.78 = 482.70/x
  3. Step 3: Cross multiply
    1,212.60x = 1,817.78 × 482.70
  4. Step 4: Simplify right side
    1,212.60x = 877,442.41
  5. Step 5: Solve for x
    x = 877,442.41/1,212.60
  6. Step 6: Final answer
    x = 723.60

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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.