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Finding the Fourth Proportional to 744.09, 1,109.55 and 693.83

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Solution

The fourth proportional to 744.09, 1,109.55 and 693.83 is: 1,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.09 : 1,109.55 = 693.83 : x
  2. Step 2: Convert to fraction form
    744.09/1,109.55 = 693.83/x
  3. Step 3: Cross multiply
    744.09x = 1,109.55 × 693.83
  4. Step 4: Simplify right side
    744.09x = 769,839.08
  5. Step 5: Solve for x
    x = 769,839.08/744.09
  6. Step 6: Final answer
    x = 1,034.60

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1.5x scale

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.