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Finding the Fourth Proportional to 1,851.01, 2,775.49 and 617.75

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Solution

The fourth proportional to 1,851.01, 2,775.49 and 617.75 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.01 : 2,775.49 = 617.75 : x
  2. Step 2: Convert to fraction form
    1,851.01/2,775.49 = 617.75/x
  3. Step 3: Cross multiply
    1,851.01x = 2,775.49 × 617.75
  4. Step 4: Simplify right side
    1,851.01x = 1,714,558.95
  5. Step 5: Solve for x
    x = 1,714,558.95/1,851.01
  6. Step 6: Final answer
    x = 926.28

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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.