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Finding the Fourth Proportional to 713.10, 984.10 and 398.40

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Solution

The fourth proportional to 713.10, 984.10 and 398.40 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.10 : 984.10 = 398.40 : x
  2. Step 2: Convert to fraction form
    713.10/984.10 = 398.40/x
  3. Step 3: Cross multiply
    713.10x = 984.10 × 398.40
  4. Step 4: Simplify right side
    713.10x = 392,065.44
  5. Step 5: Solve for x
    x = 392,065.44/713.10
  6. Step 6: Final answer
    x = 549.80

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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.