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Finding the Fourth Proportional to 1,656.97, 2,481.01 and 875.35

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Solution

The fourth proportional to 1,656.97, 2,481.01 and 875.35 is: 1,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.97 : 2,481.01 = 875.35 : x
  2. Step 2: Convert to fraction form
    1,656.97/2,481.01 = 875.35/x
  3. Step 3: Cross multiply
    1,656.97x = 2,481.01 × 875.35
  4. Step 4: Simplify right side
    1,656.97x = 2,171,752.10
  5. Step 5: Solve for x
    x = 2,171,752.10/1,656.97
  6. Step 6: Final answer
    x = 1,310.68

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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.