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Finding the Fourth Proportional to 744.17, 1,116.12 and 216.96

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Solution

The fourth proportional to 744.17, 1,116.12 and 216.96 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.17 : 1,116.12 = 216.96 : x
  2. Step 2: Convert to fraction form
    744.17/1,116.12 = 216.96/x
  3. Step 3: Cross multiply
    744.17x = 1,116.12 × 216.96
  4. Step 4: Simplify right side
    744.17x = 242,158.40
  5. Step 5: Solve for x
    x = 242,158.40/744.17
  6. Step 6: Final answer
    x = 325.41

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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.