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Finding the Fourth Proportional to 1,744.62, 2,616.30 and 511.72

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Solution

The fourth proportional to 1,744.62, 2,616.30 and 511.72 is: 767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.62 : 2,616.30 = 511.72 : x
  2. Step 2: Convert to fraction form
    1,744.62/2,616.30 = 511.72/x
  3. Step 3: Cross multiply
    1,744.62x = 2,616.30 × 511.72
  4. Step 4: Simplify right side
    1,744.62x = 1,338,813.04
  5. Step 5: Solve for x
    x = 1,338,813.04/1,744.62
  6. Step 6: Final answer
    x = 767.40

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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.