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Finding the Fourth Proportional to 1,104.50, 1,525.41 and 685.86

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Solution

The fourth proportional to 1,104.50, 1,525.41 and 685.86 is: 947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.50 : 1,525.41 = 685.86 : x
  2. Step 2: Convert to fraction form
    1,104.50/1,525.41 = 685.86/x
  3. Step 3: Cross multiply
    1,104.50x = 1,525.41 × 685.86
  4. Step 4: Simplify right side
    1,104.50x = 1,046,211.98
  5. Step 5: Solve for x
    x = 1,046,211.98/1,104.50
  6. Step 6: Final answer
    x = 947.22

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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.