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Finding the Fourth Proportional to 1,612.71, 2,419.20 and 517.10

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Solution

The fourth proportional to 1,612.71, 2,419.20 and 517.10 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.71 : 2,419.20 = 517.10 : x
  2. Step 2: Convert to fraction form
    1,612.71/2,419.20 = 517.10/x
  3. Step 3: Cross multiply
    1,612.71x = 2,419.20 × 517.10
  4. Step 4: Simplify right side
    1,612.71x = 1,250,956.22
  5. Step 5: Solve for x
    x = 1,250,956.22/1,612.71
  6. Step 6: Final answer
    x = 775.69

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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.