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Finding the Fourth Proportional to 1,250.10, 1,873.79 and 617.31

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Solution

The fourth proportional to 1,250.10, 1,873.79 and 617.31 is: 925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.10 : 1,873.79 = 617.31 : x
  2. Step 2: Convert to fraction form
    1,250.10/1,873.79 = 617.31/x
  3. Step 3: Cross multiply
    1,250.10x = 1,873.79 × 617.31
  4. Step 4: Simplify right side
    1,250.10x = 1,156,709.30
  5. Step 5: Solve for x
    x = 1,156,709.30/1,250.10
  6. Step 6: Final answer
    x = 925.29

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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.