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Finding the Fourth Proportional to 674.75, 930.76 and 412.31

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Solution

The fourth proportional to 674.75, 930.76 and 412.31 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.75 : 930.76 = 412.31 : x
  2. Step 2: Convert to fraction form
    674.75/930.76 = 412.31/x
  3. Step 3: Cross multiply
    674.75x = 930.76 × 412.31
  4. Step 4: Simplify right side
    674.75x = 383,762.95
  5. Step 5: Solve for x
    x = 383,762.95/674.75
  6. Step 6: Final answer
    x = 568.75

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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.