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Finding the Fourth Proportional to 713.30, 984.39 and 398.56

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Solution

The fourth proportional to 713.30, 984.39 and 398.56 is: 550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.30 : 984.39 = 398.56 : x
  2. Step 2: Convert to fraction form
    713.30/984.39 = 398.56/x
  3. Step 3: Cross multiply
    713.30x = 984.39 × 398.56
  4. Step 4: Simplify right side
    713.30x = 392,337.51
  5. Step 5: Solve for x
    x = 392,337.51/713.30
  6. Step 6: Final answer
    x = 550.04

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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.