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Finding the Fourth Proportional to 1,250.40, 1,874.73 and 556.71

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Solution

The fourth proportional to 1,250.40, 1,874.73 and 556.71 is: 834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.40 : 1,874.73 = 556.71 : x
  2. Step 2: Convert to fraction form
    1,250.40/1,874.73 = 556.71/x
  3. Step 3: Cross multiply
    1,250.40x = 1,874.73 × 556.71
  4. Step 4: Simplify right side
    1,250.40x = 1,043,680.94
  5. Step 5: Solve for x
    x = 1,043,680.94/1,250.40
  6. Step 6: Final answer
    x = 834.68

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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.