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Finding the Fourth Proportional to 1,279.34, 1,765.42 and 719.84

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Solution

The fourth proportional to 1,279.34, 1,765.42 and 719.84 is: 993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.34 : 1,765.42 = 719.84 : x
  2. Step 2: Convert to fraction form
    1,279.34/1,765.42 = 719.84/x
  3. Step 3: Cross multiply
    1,279.34x = 1,765.42 × 719.84
  4. Step 4: Simplify right side
    1,279.34x = 1,270,819.93
  5. Step 5: Solve for x
    x = 1,270,819.93/1,279.34
  6. Step 6: Final answer
    x = 993.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.