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Finding the Fourth Proportional to 1,279.02, 1,918.17 and 663.42

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Solution

The fourth proportional to 1,279.02, 1,918.17 and 663.42 is: 994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.02 : 1,918.17 = 663.42 : x
  2. Step 2: Convert to fraction form
    1,279.02/1,918.17 = 663.42/x
  3. Step 3: Cross multiply
    1,279.02x = 1,918.17 × 663.42
  4. Step 4: Simplify right side
    1,279.02x = 1,272,552.34
  5. Step 5: Solve for x
    x = 1,272,552.34/1,279.02
  6. Step 6: Final answer
    x = 994.94

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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.