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Finding the Fourth Proportional to 738.05, 1,104.93 and 428.96

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Solution

The fourth proportional to 738.05, 1,104.93 and 428.96 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.05 : 1,104.93 = 428.96 : x
  2. Step 2: Convert to fraction form
    738.05/1,104.93 = 428.96/x
  3. Step 3: Cross multiply
    738.05x = 1,104.93 × 428.96
  4. Step 4: Simplify right side
    738.05x = 473,965.87
  5. Step 5: Solve for x
    x = 473,965.87/738.05
  6. Step 6: Final answer
    x = 642.19

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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.