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Finding the Fourth Proportional to 663.40, 993.16 and 546.76

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Solution

The fourth proportional to 663.40, 993.16 and 546.76 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 993.16 = 546.76 : x
  2. Step 2: Convert to fraction form
    663.40/993.16 = 546.76/x
  3. Step 3: Cross multiply
    663.40x = 993.16 × 546.76
  4. Step 4: Simplify right side
    663.40x = 543,020.16
  5. Step 5: Solve for x
    x = 543,020.16/663.40
  6. Step 6: Final answer
    x = 818.54

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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.