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Finding the Fourth Proportional to 930.18, 1,393.98 and 409.40

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Solution

The fourth proportional to 930.18, 1,393.98 and 409.40 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.18 : 1,393.98 = 409.40 : x
  2. Step 2: Convert to fraction form
    930.18/1,393.98 = 409.40/x
  3. Step 3: Cross multiply
    930.18x = 1,393.98 × 409.40
  4. Step 4: Simplify right side
    930.18x = 570,699.66
  5. Step 5: Solve for x
    x = 570,699.66/930.18
  6. Step 6: Final answer
    x = 613.54

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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.