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Finding the Fourth Proportional to 1,206.62, 1,809.78 and 513.16

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Solution

The fourth proportional to 1,206.62, 1,809.78 and 513.16 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.62 : 1,809.78 = 513.16 : x
  2. Step 2: Convert to fraction form
    1,206.62/1,809.78 = 513.16/x
  3. Step 3: Cross multiply
    1,206.62x = 1,809.78 × 513.16
  4. Step 4: Simplify right side
    1,206.62x = 928,700.26
  5. Step 5: Solve for x
    x = 928,700.26/1,206.62
  6. Step 6: Final answer
    x = 769.67

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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.