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Finding the Fourth Proportional to 736.10, 1,015.54 and 421.34

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Solution

The fourth proportional to 736.10, 1,015.54 and 421.34 is: 581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.10 : 1,015.54 = 421.34 : x
  2. Step 2: Convert to fraction form
    736.10/1,015.54 = 421.34/x
  3. Step 3: Cross multiply
    736.10x = 1,015.54 × 421.34
  4. Step 4: Simplify right side
    736.10x = 427,887.62
  5. Step 5: Solve for x
    x = 427,887.62/736.10
  6. Step 6: Final answer
    x = 581.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.