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Finding the Fourth Proportional to 1,100.50, 1,518.74 and 634.75

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Solution

The fourth proportional to 1,100.50, 1,518.74 and 634.75 is: 875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.50 : 1,518.74 = 634.75 : x
  2. Step 2: Convert to fraction form
    1,100.50/1,518.74 = 634.75/x
  3. Step 3: Cross multiply
    1,100.50x = 1,518.74 × 634.75
  4. Step 4: Simplify right side
    1,100.50x = 964,020.22
  5. Step 5: Solve for x
    x = 964,020.22/1,100.50
  6. Step 6: Final answer
    x = 875.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.