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Finding the Fourth Proportional to 713.45, 984.56 and 398.75

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Solution

The fourth proportional to 713.45, 984.56 and 398.75 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.45 : 984.56 = 398.75 : x
  2. Step 2: Convert to fraction form
    713.45/984.56 = 398.75/x
  3. Step 3: Cross multiply
    713.45x = 984.56 × 398.75
  4. Step 4: Simplify right side
    713.45x = 392,586.38
  5. Step 5: Solve for x
    x = 392,586.38/713.45
  6. Step 6: Final answer
    x = 550.26

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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.