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Finding the Fourth Proportional to 713.06, 984.04 and 398.31

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Solution

The fourth proportional to 713.06, 984.04 and 398.31 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 984.04 = 398.31 : x
  2. Step 2: Convert to fraction form
    713.06/984.04 = 398.31/x
  3. Step 3: Cross multiply
    713.06x = 984.04 × 398.31
  4. Step 4: Simplify right side
    713.06x = 391,955.32
  5. Step 5: Solve for x
    x = 391,955.32/713.06
  6. Step 6: Final answer
    x = 549.68

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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.