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Finding the Fourth Proportional to 1,114.74, 1,537.38 and 949.50

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Solution

The fourth proportional to 1,114.74, 1,537.38 and 949.50 is: 1,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.74 : 1,537.38 = 949.50 : x
  2. Step 2: Convert to fraction form
    1,114.74/1,537.38 = 949.50/x
  3. Step 3: Cross multiply
    1,114.74x = 1,537.38 × 949.50
  4. Step 4: Simplify right side
    1,114.74x = 1,459,742.31
  5. Step 5: Solve for x
    x = 1,459,742.31/1,114.74
  6. Step 6: Final answer
    x = 1,309.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.