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Finding the Fourth Proportional to 1,220.14, 1,829.76 and 854.74

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Solution

The fourth proportional to 1,220.14, 1,829.76 and 854.74 is: 1,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.14 : 1,829.76 = 854.74 : x
  2. Step 2: Convert to fraction form
    1,220.14/1,829.76 = 854.74/x
  3. Step 3: Cross multiply
    1,220.14x = 1,829.76 × 854.74
  4. Step 4: Simplify right side
    1,220.14x = 1,563,969.06
  5. Step 5: Solve for x
    x = 1,563,969.06/1,220.14
  6. Step 6: Final answer
    x = 1,281.79

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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.