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Finding the Fourth Proportional to 744.49, 1,117.19 and 664.30

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Solution

The fourth proportional to 744.49, 1,117.19 and 664.30 is: 996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.49 : 1,117.19 = 664.30 : x
  2. Step 2: Convert to fraction form
    744.49/1,117.19 = 664.30/x
  3. Step 3: Cross multiply
    744.49x = 1,117.19 × 664.30
  4. Step 4: Simplify right side
    744.49x = 742,152.37
  5. Step 5: Solve for x
    x = 742,152.37/744.49
  6. Step 6: Final answer
    x = 996.86

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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.