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Finding the Fourth Proportional to 1,742.77, 2,614.15 and 756.57

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Solution

The fourth proportional to 1,742.77, 2,614.15 and 756.57 is: 1,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.77 : 2,614.15 = 756.57 : x
  2. Step 2: Convert to fraction form
    1,742.77/2,614.15 = 756.57/x
  3. Step 3: Cross multiply
    1,742.77x = 2,614.15 × 756.57
  4. Step 4: Simplify right side
    1,742.77x = 1,977,774.03
  5. Step 5: Solve for x
    x = 1,977,774.03/1,742.77
  6. Step 6: Final answer
    x = 1,134.85

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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.