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Finding the Fourth Proportional to 713, 1,068.82 and 366.20

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Solution

The fourth proportional to 713, 1,068.82 and 366.20 is: 548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 1,068.82 = 366.20 : x
  2. Step 2: Convert to fraction form
    713/1,068.82 = 366.20/x
  3. Step 3: Cross multiply
    713x = 1,068.82 × 366.20
  4. Step 4: Simplify right side
    713x = 391,401.88
  5. Step 5: Solve for x
    x = 391,401.88/713
  6. Step 6: Final answer
    x = 548.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.