Home / 1,742.48-2,613.36-509.64

Finding the Fourth Proportional to 1,742.48, 2,613.36 and 509.64

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Solution

The fourth proportional to 1,742.48, 2,613.36 and 509.64 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.48 : 2,613.36 = 509.64 : x
  2. Step 2: Convert to fraction form
    1,742.48/2,613.36 = 509.64/x
  3. Step 3: Cross multiply
    1,742.48x = 2,613.36 × 509.64
  4. Step 4: Simplify right side
    1,742.48x = 1,331,872.79
  5. Step 5: Solve for x
    x = 1,331,872.79/1,742.48
  6. Step 6: Final answer
    x = 764.35

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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.