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Finding the Fourth Proportional to 1,634.12, 2,450.88 and 538.35

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Solution

The fourth proportional to 1,634.12, 2,450.88 and 538.35 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.12 : 2,450.88 = 538.35 : x
  2. Step 2: Convert to fraction form
    1,634.12/2,450.88 = 538.35/x
  3. Step 3: Cross multiply
    1,634.12x = 2,450.88 × 538.35
  4. Step 4: Simplify right side
    1,634.12x = 1,319,423.57
  5. Step 5: Solve for x
    x = 1,319,423.57/1,634.12
  6. Step 6: Final answer
    x = 807.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.