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Finding the Fourth Proportional to 1,753.85, 2,628.75 and 657.52

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Solution

The fourth proportional to 1,753.85, 2,628.75 and 657.52 is: 985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.85 : 2,628.75 = 657.52 : x
  2. Step 2: Convert to fraction form
    1,753.85/2,628.75 = 657.52/x
  3. Step 3: Cross multiply
    1,753.85x = 2,628.75 × 657.52
  4. Step 4: Simplify right side
    1,753.85x = 1,728,451.59
  5. Step 5: Solve for x
    x = 1,728,451.59/1,753.85
  6. Step 6: Final answer
    x = 985.52

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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.