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Finding the Fourth Proportional to 790.85, 1,186.62 and 425.21

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Solution

The fourth proportional to 790.85, 1,186.62 and 425.21 is: 637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.85 : 1,186.62 = 425.21 : x
  2. Step 2: Convert to fraction form
    790.85/1,186.62 = 425.21/x
  3. Step 3: Cross multiply
    790.85x = 1,186.62 × 425.21
  4. Step 4: Simplify right side
    790.85x = 504,555.16
  5. Step 5: Solve for x
    x = 504,555.16/790.85
  6. Step 6: Final answer
    x = 637.99

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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.