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Finding the Fourth Proportional to 1,808.30, 2,713.12 and 638.44

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Solution

The fourth proportional to 1,808.30, 2,713.12 and 638.44 is: 957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.30 : 2,713.12 = 638.44 : x
  2. Step 2: Convert to fraction form
    1,808.30/2,713.12 = 638.44/x
  3. Step 3: Cross multiply
    1,808.30x = 2,713.12 × 638.44
  4. Step 4: Simplify right side
    1,808.30x = 1,732,155.95
  5. Step 5: Solve for x
    x = 1,732,155.95/1,808.30
  6. Step 6: Final answer
    x = 957.89

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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.