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Finding the Fourth Proportional to 744.49, 1,109.44 and 718.35

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Solution

The fourth proportional to 744.49, 1,109.44 and 718.35 is: 1,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.49 : 1,109.44 = 718.35 : x
  2. Step 2: Convert to fraction form
    744.49/1,109.44 = 718.35/x
  3. Step 3: Cross multiply
    744.49x = 1,109.44 × 718.35
  4. Step 4: Simplify right side
    744.49x = 796,966.22
  5. Step 5: Solve for x
    x = 796,966.22/744.49
  6. Step 6: Final answer
    x = 1,070.49

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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.