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Finding the Fourth Proportional to 1,208.85, 1,813.29 and 632.85

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Solution

The fourth proportional to 1,208.85, 1,813.29 and 632.85 is: 949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.85 : 1,813.29 = 632.85 : x
  2. Step 2: Convert to fraction form
    1,208.85/1,813.29 = 632.85/x
  3. Step 3: Cross multiply
    1,208.85x = 1,813.29 × 632.85
  4. Step 4: Simplify right side
    1,208.85x = 1,147,537.41
  5. Step 5: Solve for x
    x = 1,147,537.41/1,208.85
  6. Step 6: Final answer
    x = 949.28

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Double scale
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Similar ratio
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1.5x scale

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.