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Finding the Fourth Proportional to 736.60, 1,105.80 and 407.80

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Solution

The fourth proportional to 736.60, 1,105.80 and 407.80 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.60 : 1,105.80 = 407.80 : x
  2. Step 2: Convert to fraction form
    736.60/1,105.80 = 407.80/x
  3. Step 3: Cross multiply
    736.60x = 1,105.80 × 407.80
  4. Step 4: Simplify right side
    736.60x = 450,945.24
  5. Step 5: Solve for x
    x = 450,945.24/736.60
  6. Step 6: Final answer
    x = 612.20

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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.