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Finding the Fourth Proportional to 703.15, 1,054.76 and 216.21

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Solution

The fourth proportional to 703.15, 1,054.76 and 216.21 is: 324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.15 : 1,054.76 = 216.21 : x
  2. Step 2: Convert to fraction form
    703.15/1,054.76 = 216.21/x
  3. Step 3: Cross multiply
    703.15x = 1,054.76 × 216.21
  4. Step 4: Simplify right side
    703.15x = 228,049.66
  5. Step 5: Solve for x
    x = 228,049.66/703.15
  6. Step 6: Final answer
    x = 324.33

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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.