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Finding the Fourth Proportional to 1,208.92, 1,813.40 and 632.92

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Solution

The fourth proportional to 1,208.92, 1,813.40 and 632.92 is: 949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.92 : 1,813.40 = 632.92 : x
  2. Step 2: Convert to fraction form
    1,208.92/1,813.40 = 632.92/x
  3. Step 3: Cross multiply
    1,208.92x = 1,813.40 × 632.92
  4. Step 4: Simplify right side
    1,208.92x = 1,147,737.13
  5. Step 5: Solve for x
    x = 1,147,737.13/1,208.92
  6. Step 6: Final answer
    x = 949.39

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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.