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Finding the Fourth Proportional to 736.32, 1,104.21 and 428.25

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Solution

The fourth proportional to 736.32, 1,104.21 and 428.25 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,104.21 = 428.25 : x
  2. Step 2: Convert to fraction form
    736.32/1,104.21 = 428.25/x
  3. Step 3: Cross multiply
    736.32x = 1,104.21 × 428.25
  4. Step 4: Simplify right side
    736.32x = 472,877.93
  5. Step 5: Solve for x
    x = 472,877.93/736.32
  6. Step 6: Final answer
    x = 642.22

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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.