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Finding the Fourth Proportional to 930.07, 1,394.31 and 409.68

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Solution

The fourth proportional to 930.07, 1,394.31 and 409.68 is: 614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.07 : 1,394.31 = 409.68 : x
  2. Step 2: Convert to fraction form
    930.07/1,394.31 = 409.68/x
  3. Step 3: Cross multiply
    930.07x = 1,394.31 × 409.68
  4. Step 4: Simplify right side
    930.07x = 571,217.65
  5. Step 5: Solve for x
    x = 571,217.65/930.07
  6. Step 6: Final answer
    x = 614.16

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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.