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Finding the Fourth Proportional to 736.20, 1,015.94 and 404.60

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Solution

The fourth proportional to 736.20, 1,015.94 and 404.60 is: 558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.20 : 1,015.94 = 404.60 : x
  2. Step 2: Convert to fraction form
    736.20/1,015.94 = 404.60/x
  3. Step 3: Cross multiply
    736.20x = 1,015.94 × 404.60
  4. Step 4: Simplify right side
    736.20x = 411,047.55
  5. Step 5: Solve for x
    x = 411,047.55/736.20
  6. Step 6: Final answer
    x = 558.33

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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.