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Finding the Fourth Proportional to 734.77, 1,102.91 and 427.23

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Solution

The fourth proportional to 734.77, 1,102.91 and 427.23 is: 641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.77 : 1,102.91 = 427.23 : x
  2. Step 2: Convert to fraction form
    734.77/1,102.91 = 427.23/x
  3. Step 3: Cross multiply
    734.77x = 1,102.91 × 427.23
  4. Step 4: Simplify right side
    734.77x = 471,196.24
  5. Step 5: Solve for x
    x = 471,196.24/734.77
  6. Step 6: Final answer
    x = 641.28

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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.