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Finding the Fourth Proportional to 949.44, 1,423.47 and 744.45

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Solution

The fourth proportional to 949.44, 1,423.47 and 744.45 is: 1,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.44 : 1,423.47 = 744.45 : x
  2. Step 2: Convert to fraction form
    949.44/1,423.47 = 744.45/x
  3. Step 3: Cross multiply
    949.44x = 1,423.47 × 744.45
  4. Step 4: Simplify right side
    949.44x = 1,059,702.24
  5. Step 5: Solve for x
    x = 1,059,702.24/949.44
  6. Step 6: Final answer
    x = 1,116.13

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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.