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Finding the Fourth Proportional to 738.54, 1,106.28 and 716.67

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Solution

The fourth proportional to 738.54, 1,106.28 and 716.67 is: 1,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,106.28 = 716.67 : x
  2. Step 2: Convert to fraction form
    738.54/1,106.28 = 716.67/x
  3. Step 3: Cross multiply
    738.54x = 1,106.28 × 716.67
  4. Step 4: Simplify right side
    738.54x = 792,837.69
  5. Step 5: Solve for x
    x = 792,837.69/738.54
  6. Step 6: Final answer
    x = 1,073.52

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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.