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Finding the Fourth Proportional to 708.50, 977.82 and 398

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Solution

The fourth proportional to 708.50, 977.82 and 398 is: 549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.50 : 977.82 = 398 : x
  2. Step 2: Convert to fraction form
    708.50/977.82 = 398/x
  3. Step 3: Cross multiply
    708.50x = 977.82 × 398
  4. Step 4: Simplify right side
    708.50x = 389,172.36
  5. Step 5: Solve for x
    x = 389,172.36/708.50
  6. Step 6: Final answer
    x = 549.29

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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.