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Finding the Fourth Proportional to 743.84, 1,109.17 and 693.58

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Solution

The fourth proportional to 743.84, 1,109.17 and 693.58 is: 1,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.84 : 1,109.17 = 693.58 : x
  2. Step 2: Convert to fraction form
    743.84/1,109.17 = 693.58/x
  3. Step 3: Cross multiply
    743.84x = 1,109.17 × 693.58
  4. Step 4: Simplify right side
    743.84x = 769,298.13
  5. Step 5: Solve for x
    x = 769,298.13/743.84
  6. Step 6: Final answer
    x = 1,034.23

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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.