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Finding the Fourth Proportional to 930.35, 1,393.72 and 409.12

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Solution

The fourth proportional to 930.35, 1,393.72 and 409.12 is: 612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.35 : 1,393.72 = 409.12 : x
  2. Step 2: Convert to fraction form
    930.35/1,393.72 = 409.12/x
  3. Step 3: Cross multiply
    930.35x = 1,393.72 × 409.12
  4. Step 4: Simplify right side
    930.35x = 570,194.22
  5. Step 5: Solve for x
    x = 570,194.22/930.35
  6. Step 6: Final answer
    x = 612.88

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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.