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Finding the Fourth Proportional to 738.68, 1,106.62 and 414.28

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Solution

The fourth proportional to 738.68, 1,106.62 and 414.28 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,106.62 = 414.28 : x
  2. Step 2: Convert to fraction form
    738.68/1,106.62 = 414.28/x
  3. Step 3: Cross multiply
    738.68x = 1,106.62 × 414.28
  4. Step 4: Simplify right side
    738.68x = 458,450.53
  5. Step 5: Solve for x
    x = 458,450.53/738.68
  6. Step 6: Final answer
    x = 620.63

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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.