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Finding the Fourth Proportional to 1,613.90, 2,419.29 and 517.51

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Solution

The fourth proportional to 1,613.90, 2,419.29 and 517.51 is: 775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.90 : 2,419.29 = 517.51 : x
  2. Step 2: Convert to fraction form
    1,613.90/2,419.29 = 517.51/x
  3. Step 3: Cross multiply
    1,613.90x = 2,419.29 × 517.51
  4. Step 4: Simplify right side
    1,613.90x = 1,252,018.05
  5. Step 5: Solve for x
    x = 1,252,018.05/1,613.90
  6. Step 6: Final answer
    x = 775.77

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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.