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Finding the Fourth Proportional to 663.12, 994.84 and 278.40

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Solution

The fourth proportional to 663.12, 994.84 and 278.40 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.12 : 994.84 = 278.40 : x
  2. Step 2: Convert to fraction form
    663.12/994.84 = 278.40/x
  3. Step 3: Cross multiply
    663.12x = 994.84 × 278.40
  4. Step 4: Simplify right side
    663.12x = 276,963.46
  5. Step 5: Solve for x
    x = 276,963.46/663.12
  6. Step 6: Final answer
    x = 417.67

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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.