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Finding the Fourth Proportional to 703.25, 1,054.86 and 216.29

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Solution

The fourth proportional to 703.25, 1,054.86 and 216.29 is: 324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,054.86 = 216.29 : x
  2. Step 2: Convert to fraction form
    703.25/1,054.86 = 216.29/x
  3. Step 3: Cross multiply
    703.25x = 1,054.86 × 216.29
  4. Step 4: Simplify right side
    703.25x = 228,155.67
  5. Step 5: Solve for x
    x = 228,155.67/703.25
  6. Step 6: Final answer
    x = 324.43

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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.