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Finding the Fourth Proportional to 1,607.99, 2,411.82 and 513.14

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Solution

The fourth proportional to 1,607.99, 2,411.82 and 513.14 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.99 : 2,411.82 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,607.99/2,411.82 = 513.14/x
  3. Step 3: Cross multiply
    1,607.99x = 2,411.82 × 513.14
  4. Step 4: Simplify right side
    1,607.99x = 1,237,589.26
  5. Step 5: Solve for x
    x = 1,237,589.26/1,607.99
  6. Step 6: Final answer
    x = 769.65

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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.