Home / 1,742.58-2,613.33-509.76

Finding the Fourth Proportional to 1,742.58, 2,613.33 and 509.76

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Solution

The fourth proportional to 1,742.58, 2,613.33 and 509.76 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.58 : 2,613.33 = 509.76 : x
  2. Step 2: Convert to fraction form
    1,742.58/2,613.33 = 509.76/x
  3. Step 3: Cross multiply
    1,742.58x = 2,613.33 × 509.76
  4. Step 4: Simplify right side
    1,742.58x = 1,332,171.10
  5. Step 5: Solve for x
    x = 1,332,171.10/1,742.58
  6. Step 6: Final answer
    x = 764.48

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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.