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Finding the Fourth Proportional to 1,208.25, 1,811.16 and 623.50

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Solution

The fourth proportional to 1,208.25, 1,811.16 and 623.50 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.25 : 1,811.16 = 623.50 : x
  2. Step 2: Convert to fraction form
    1,208.25/1,811.16 = 623.50/x
  3. Step 3: Cross multiply
    1,208.25x = 1,811.16 × 623.50
  4. Step 4: Simplify right side
    1,208.25x = 1,129,253.73
  5. Step 5: Solve for x
    x = 1,129,253.73/1,208.25
  6. Step 6: Final answer
    x = 934.62

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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.