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Finding the Fourth Proportional to 674.12, 930.75 and 412.31

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Solution

The fourth proportional to 674.12, 930.75 and 412.31 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 930.75 = 412.31 : x
  2. Step 2: Convert to fraction form
    674.12/930.75 = 412.31/x
  3. Step 3: Cross multiply
    674.12x = 930.75 × 412.31
  4. Step 4: Simplify right side
    674.12x = 383,757.53
  5. Step 5: Solve for x
    x = 383,757.53/674.12
  6. Step 6: Final answer
    x = 569.27

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1.5x scale

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.