Home / 1,742.07-2,613.53-509.49

Finding the Fourth Proportional to 1,742.07, 2,613.53 and 509.49

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Solution

The fourth proportional to 1,742.07, 2,613.53 and 509.49 is: 764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.07 : 2,613.53 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,742.07/2,613.53 = 509.49/x
  3. Step 3: Cross multiply
    1,742.07x = 2,613.53 × 509.49
  4. Step 4: Simplify right side
    1,742.07x = 1,331,564.85
  5. Step 5: Solve for x
    x = 1,331,564.85/1,742.07
  6. Step 6: Final answer
    x = 764.36

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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.