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Finding the Fourth Proportional to 744.84, 1,116.90 and 224.64

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Solution

The fourth proportional to 744.84, 1,116.90 and 224.64 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.84 : 1,116.90 = 224.64 : x
  2. Step 2: Convert to fraction form
    744.84/1,116.90 = 224.64/x
  3. Step 3: Cross multiply
    744.84x = 1,116.90 × 224.64
  4. Step 4: Simplify right side
    744.84x = 250,900.42
  5. Step 5: Solve for x
    x = 250,900.42/744.84
  6. Step 6: Final answer
    x = 336.85

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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.