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Finding the Fourth Proportional to 744.24, 1,109.79 and 642.18

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Solution

The fourth proportional to 744.24, 1,109.79 and 642.18 is: 957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.24 : 1,109.79 = 642.18 : x
  2. Step 2: Convert to fraction form
    744.24/1,109.79 = 642.18/x
  3. Step 3: Cross multiply
    744.24x = 1,109.79 × 642.18
  4. Step 4: Simplify right side
    744.24x = 712,684.94
  5. Step 5: Solve for x
    x = 712,684.94/744.24
  6. Step 6: Final answer
    x = 957.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.