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Finding the Fourth Proportional to 790.70, 1,185.84 and 213.57

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Solution

The fourth proportional to 790.70, 1,185.84 and 213.57 is: 320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.70 : 1,185.84 = 213.57 : x
  2. Step 2: Convert to fraction form
    790.70/1,185.84 = 213.57/x
  3. Step 3: Cross multiply
    790.70x = 1,185.84 × 213.57
  4. Step 4: Simplify right side
    790.70x = 253,259.85
  5. Step 5: Solve for x
    x = 253,259.85/790.70
  6. Step 6: Final answer
    x = 320.30

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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.