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Finding the Fourth Proportional to 1,709, 2,563.50 and 493

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Solution

The fourth proportional to 1,709, 2,563.50 and 493 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709 : 2,563.50 = 493 : x
  2. Step 2: Convert to fraction form
    1,709/2,563.50 = 493/x
  3. Step 3: Cross multiply
    1,709x = 2,563.50 × 493
  4. Step 4: Simplify right side
    1,709x = 1,263,805.50
  5. Step 5: Solve for x
    x = 1,263,805.50/1,709
  6. Step 6: Final answer
    x = 739.50

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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.