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Finding the Fourth Proportional to 663.15, 994.72 and 278.13

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Solution

The fourth proportional to 663.15, 994.72 and 278.13 is: 417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 994.72 = 278.13 : x
  2. Step 2: Convert to fraction form
    663.15/994.72 = 278.13/x
  3. Step 3: Cross multiply
    663.15x = 994.72 × 278.13
  4. Step 4: Simplify right side
    663.15x = 276,661.47
  5. Step 5: Solve for x
    x = 276,661.47/663.15
  6. Step 6: Final answer
    x = 417.19

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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.