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Finding the Fourth Proportional to 703.85, 1,055.72 and 216.88

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Solution

The fourth proportional to 703.85, 1,055.72 and 216.88 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.85 : 1,055.72 = 216.88 : x
  2. Step 2: Convert to fraction form
    703.85/1,055.72 = 216.88/x
  3. Step 3: Cross multiply
    703.85x = 1,055.72 × 216.88
  4. Step 4: Simplify right side
    703.85x = 228,964.55
  5. Step 5: Solve for x
    x = 228,964.55/703.85
  6. Step 6: Final answer
    x = 325.30

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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.