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Finding the Fourth Proportional to 713.40, 984.43 and 398.69

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Solution

The fourth proportional to 713.40, 984.43 and 398.69 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 984.43 = 398.69 : x
  2. Step 2: Convert to fraction form
    713.40/984.43 = 398.69/x
  3. Step 3: Cross multiply
    713.40x = 984.43 × 398.69
  4. Step 4: Simplify right side
    713.40x = 392,482.40
  5. Step 5: Solve for x
    x = 392,482.40/713.40
  6. Step 6: Final answer
    x = 550.16

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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.