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Finding the Fourth Proportional to 738.57, 1,104.58 and 656.83

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Solution

The fourth proportional to 738.57, 1,104.58 and 656.83 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.57 : 1,104.58 = 656.83 : x
  2. Step 2: Convert to fraction form
    738.57/1,104.58 = 656.83/x
  3. Step 3: Cross multiply
    738.57x = 1,104.58 × 656.83
  4. Step 4: Simplify right side
    738.57x = 725,521.28
  5. Step 5: Solve for x
    x = 725,521.28/738.57
  6. Step 6: Final answer
    x = 982.33

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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.