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Finding the Fourth Proportional to 713.10, 983.98 and 398.37

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Solution

The fourth proportional to 713.10, 983.98 and 398.37 is: 549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.10 : 983.98 = 398.37 : x
  2. Step 2: Convert to fraction form
    713.10/983.98 = 398.37/x
  3. Step 3: Cross multiply
    713.10x = 983.98 × 398.37
  4. Step 4: Simplify right side
    713.10x = 391,988.11
  5. Step 5: Solve for x
    x = 391,988.11/713.10
  6. Step 6: Final answer
    x = 549.70

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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.