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Finding the Fourth Proportional to 1,236.05, 1,854.76 and 506.14

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Solution

The fourth proportional to 1,236.05, 1,854.76 and 506.14 is: 759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.05 : 1,854.76 = 506.14 : x
  2. Step 2: Convert to fraction form
    1,236.05/1,854.76 = 506.14/x
  3. Step 3: Cross multiply
    1,236.05x = 1,854.76 × 506.14
  4. Step 4: Simplify right side
    1,236.05x = 938,762.32
  5. Step 5: Solve for x
    x = 938,762.32/1,236.05
  6. Step 6: Final answer
    x = 759.49

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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.