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Finding the Fourth Proportional to 1,206.55, 1,808.88 and 513.33

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Solution

The fourth proportional to 1,206.55, 1,808.88 and 513.33 is: 769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.55 : 1,808.88 = 513.33 : x
  2. Step 2: Convert to fraction form
    1,206.55/1,808.88 = 513.33/x
  3. Step 3: Cross multiply
    1,206.55x = 1,808.88 × 513.33
  4. Step 4: Simplify right side
    1,206.55x = 928,552.37
  5. Step 5: Solve for x
    x = 928,552.37/1,206.55
  6. Step 6: Final answer
    x = 769.59

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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.