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Finding the Fourth Proportional to 1,745.68, 2,615.82 and 649.75

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Solution

The fourth proportional to 1,745.68, 2,615.82 and 649.75 is: 973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.68 : 2,615.82 = 649.75 : x
  2. Step 2: Convert to fraction form
    1,745.68/2,615.82 = 649.75/x
  3. Step 3: Cross multiply
    1,745.68x = 2,615.82 × 649.75
  4. Step 4: Simplify right side
    1,745.68x = 1,699,629.05
  5. Step 5: Solve for x
    x = 1,699,629.05/1,745.68
  6. Step 6: Final answer
    x = 973.62

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1.5x scale

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.