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Finding the Fourth Proportional to 799.76, 1,195.80 and 709.04

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Solution

The fourth proportional to 799.76, 1,195.80 and 709.04 is: 1,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,195.80 = 709.04 : x
  2. Step 2: Convert to fraction form
    799.76/1,195.80 = 709.04/x
  3. Step 3: Cross multiply
    799.76x = 1,195.80 × 709.04
  4. Step 4: Simplify right side
    799.76x = 847,870.03
  5. Step 5: Solve for x
    x = 847,870.03/799.76
  6. Step 6: Final answer
    x = 1,060.16

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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.